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130512232355440 = 245132938231113189
BaseRepresentation
bin11101101011001100111111…
…001111111001011001110000
3122010002211212212120001002211
4131223030333033321121300
5114101303022440333230
61141324254123021504
736330124532661025
oct3553147717713160
9563084785501084
10130512232355440
1138648a21799391
121277a18a66a894
1357a9334a3cbb0
142432b7bc0554c
151014dc904842a
hex76b33f3f9670

130512232355440 has 160 divisors (see below), whose sum is σ = 338062743849600. Its totient is φ = 46525809684480.

The previous prime is 130512232355423. The next prime is 130512232355443. The reversal of 130512232355440 is 44553232215031.

It is a super-2 number, since 2×1305122323554402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 130512232355393 and 130512232355402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130512232355443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152990366 + ... + 1153103554.

It is an arithmetic number, because the mean of its divisors is an integer number (2112892149060).

Almost surely, 2130512232355440 is an apocalyptic number.

130512232355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130512232355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169031371924800).

130512232355440 is an abundant number, since it is smaller than the sum of its proper divisors (207550511494160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130512232355440 is a wasteful number, since it uses less digits than its factorization.

130512232355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151475 (or 151469 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 130512232355440 in words is "one hundred thirty trillion, five hundred twelve billion, two hundred thirty-two million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 38231 76462 113189 152924 191155 226378 305848 382310 452756 497003 565945 611696 764620 905512 994006 1108699 1131890 1471457 1529240 1811024 1988012 2217398 2263780 2485015 2942914 3058480 3282481 3976024 4434796 4527560 4970030 5543495 5885828 6564962 7357285 7952048 8869592 9055120 9940060 11086990 11771656 13129924 14413087 14714570 16412405 17739184 19880120 22173980 23543312 26259848 28826174 29429140 32824810 39760240 42672253 44347960 52519696 57652348 58858280 65649620 72065435 85344506 88695920 115304696 117716560 131299240 144130870 170689012 213361265 230609392 262598480 288261740 341378024 426722530 576523480 682756048 853445060 1153046960 1706890120 3413780240 4327328659 8654657318 17309314636 21636643295 34618629272 43273286590 56255272567 69237258544 86546573180 112510545134 125492531111 173093146360 225021090268 250985062222 281276362835 346186292720 450042180536 501970124444 562552725670 627462655555 900084361072 1003940248888 1125105451340 1254925311110 1631402904443 2007880497776 2250210902680 2509850622220 3262805808886 4500421805360 5019701244440 6525611617772 8157014522215 10039402488880 13051223235544 16314029044430 26102446471088 32628058088860 65256116177720 130512232355440