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145301310440 = 2351113231104449
BaseRepresentation
bin1000011101010010100…
…0100000101111101000
3111220001022001100112022
42013110220200233220
54340034113413230
6150430035204012
713332462521606
oct2072450405750
9456038040468
10145301310440
1156692890140
12241b1146608
1310917c89c90
147065724876
153ba63451e5
hex21d4a20be8

145301310440 has 128 divisors (see below), whose sum is σ = 400782816000. Its totient is φ = 46651883520.

The previous prime is 145301310439. The next prime is 145301310443. The reversal of 145301310440 is 44013103541.

It is a happy number.

It is a super-2 number, since 2×1453013104402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (145301310443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420665 + ... + 683784.

It is an arithmetic number, because the mean of its divisors is an integer number (3131115750).

Almost surely, 2145301310440 is an apocalyptic number.

145301310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145301310440 is an abundant number, since it is smaller than the sum of its proper divisors (255481505560).

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

145301310440 is a wasteful number, since it uses less digits than its factorization.

145301310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104507 (or 1104503 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 145301310440 its reverse (44013103541), we get a palindrome (189314413981).

The spelling of 145301310440 in words is "one hundred forty-five billion, three hundred one million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 184 220 230 253 260 286 299 440 460 506 520 572 598 715 920 1012 1144 1196 1265 1430 1495 2024 2392 2530 2860 2990 3289 5060 5720 5980 6578 10120 11960 13156 16445 26312 32890 65780 131560 1104449 2208898 4417796 5522245 8835592 11044490 12148939 14357837 22088980 24297878 25402327 28715674 44177960 48595756 50804654 57431348 60744695 71789185 97191512 101609308 114862696 121489390 127011635 143578370 157936207 203218616 242978780 254023270 279425597 287156740 315872414 330230251 485957560 508046540 558851194 574313480 631744828 660460502 789681035 1016093080 1117702388 1263489656 1320921004 1397127985 1579362070 1651151255 2235404776 2641842008 2794255970 3158724140 3302302510 3632532761 5588511940 6317448280 6604605020 7265065522 11177023880 13209210040 14530131044 18162663805 29060262088 36325327610 72650655220 145301310440