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3545455525144 = 2313219409337457
BaseRepresentation
bin110011100101111101100…
…111011111110100011000
3110112221102220001220202221
4303211331213133310120
5431042043103301034
611312432040233424
7514102456502401
oct63457547376430
913487386056687
103545455525144
11114768a239a85
12493171a6b874
131c9448071600
14c385b0849a8
156235ac95bb4
hex3397d9dfd18

3545455525144 has 96 divisors (see below), whose sum is σ = 7595842122000. Its totient is φ = 1546444763136.

The previous prime is 3545455525141. The next prime is 3545455525247. The reversal of 3545455525144 is 4415255545453.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3545455525091 and 3545455525100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3545455525141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10337664 + ... + 10675120.

Almost surely, 23545455525144 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 3545455525144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797921061000).

3545455525144 is an abundant number, since it is smaller than the sum of its proper divisors (4050386596856).

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

3545455525144 is a wasteful number, since it uses less digits than its factorization.

3545455525144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337917 (or 337900 counting only the distinct ones).

The product of its digits is 24000000, while the sum is 52.

The spelling of 3545455525144 in words is "three trillion, five hundred forty-five billion, four hundred fifty-five million, five hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 409 494 676 818 988 1352 1636 1976 3211 3272 5317 6422 7771 10634 12844 15542 21268 25688 31084 42536 62168 69121 101023 138242 202046 276484 337457 404092 552968 674914 808184 1313299 1349828 2626598 2699656 4386941 5253196 6411683 8773882 10506392 12823366 17547764 25646732 35095528 51293464 57030233 83351879 114060466 138019913 166703758 228120932 276039826 333407516 456241864 552079652 666815032 1083574427 1104159304 1794258869 2167148854 2622378347 3588517738 4334297708 5244756694 7177035476 8668595416 10489513388 14354070952 20979026776 23325365297 34090918511 46650730594 68181837022 93301461188 136363674044 186602922376 272727348088 443181940643 886363881286 1772727762572 3545455525144