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155035310144 = 26111323937079
BaseRepresentation
bin1001000001100011010…
…0110001100001000000
3112211011200021202211212
42100120310301201000
510020003014411034
6155120000425252
714125630251521
oct2203064614100
9484150252755
10155035310144
115a8284331a0
1226069018228
1311809822010
14770a404848
154075bad2ce
hex2418d31840

155035310144 has 112 divisors (see below), whose sum is σ = 361634958720. Its totient is φ = 65013411840.

The previous prime is 155035310141. The next prime is 155035310201. The reversal of 155035310144 is 441013530551.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 155035310144.

It is not an unprimeable number, because it can be changed into a prime (155035310141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21897197 + ... + 21904275.

It is an arithmetic number, because the mean of its divisors is an integer number (3228883560).

Almost surely, 2155035310144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155035310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180817479360).

155035310144 is an abundant number, since it is smaller than the sum of its proper divisors (206599648576).

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

155035310144 is a wasteful number, since it uses less digits than its factorization.

155035310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 155035310144 its reverse (441013530551), we get a palindrome (596048840695).

The spelling of 155035310144 in words is "one hundred fifty-five billion, thirty-five million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 2393 4576 4786 7079 9152 9572 14158 19144 26323 28316 31109 38288 52646 56632 62218 76576 77869 92027 105292 113264 124436 153152 155738 184054 210584 226528 248872 311476 342199 368108 421168 453056 497744 622952 684398 736216 842336 995488 1012297 1245904 1368796 1472432 1684672 1990976 2024594 2491808 2737592 2944864 4049188 4983616 5475184 5889728 8098376 10950368 16196752 16940047 21900736 32393504 33880094 64787008 67760188 135520376 186340517 220220611 271040752 372681034 440441222 542081504 745362068 880882444 1084163008 1490724136 1761764888 2422426721 2981448272 3523529776 4844853442 5962896544 7047059552 9689706884 11925793088 14094119104 19379413768 38758827536 77517655072 155035310144