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145415425101030 = 232571912148322899
BaseRepresentation
bin100001000100000100101010…
…110000100000110011100110
3201001212120121222222100200100
4201010010222300200303212
5123024441242311213110
61233134531333124530
742425626536116250
oct4104045260406346
9631776558870610
10145415425101030
1142374376551887
1214386597789746
13631a800a4b7c6
1427ca2036b6cd0
1511c28c78dbbc0
hex84412ac20ce6

145415425101030 has 96 divisors (see below), whose sum is σ = 454833209376000. Its totient is φ = 31488452951616.

The previous prime is 145415425101029. The next prime is 145415425101059. The reversal of 145415425101030 is 30101524514541.

145415425101030 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 1 + 542 + 5 + 1 + 0 + 103 + 0 = 666.

It is a super-2 number, since 2×1454154251010302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6074149480 + ... + 6074173419.

It is an arithmetic number, because the mean of its divisors is an integer number (4737845931000).

Almost surely, 2145415425101030 is an apocalyptic number.

145415425101030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145415425101030 is an abundant number, since it is smaller than the sum of its proper divisors (309417784274970).

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

145415425101030 is a wasteful number, since it uses less digits than its factorization.

145415425101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12148322938 (or 12148322935 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 145415425101030 its reverse (30101524514541), we get a palindrome (175516949615571).

The spelling of 145415425101030 in words is "one hundred forty-five trillion, four hundred fifteen billion, four hundred twenty-five million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 11970 12148322899 24296645798 36444968697 60741614495 72889937394 85038260293 109334906091 121483228990 170076520586 182224843485 218669812182 230818135081 255114780879 364449686970 425191301465 461636270162 510229561758 546674530455 692454405243 765344342637 850382602930 1093349060910 1154090675405 1275573904395 1384908810486 1530688685274 1615726945567 2077363215729 2308181350810 2551147808790 3231453891134 3462272026215 3826721713185 4154726431458 4847180836701 6924544052430 7653443426370 8078634727835 9694361673402 10386816078645 14541542510103 16157269455670 20773632157290 24235904183505 29083085020206 48471808367010 72707712550515 145415425101030