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134435104024 = 231343229251523
BaseRepresentation
bin111110100110011110…
…1001110010100011000
3110212000000100212120211
41331030331032110120
54200310341312044
6141431510500504
712466266346534
oct1751475162430
9425000325524
10134435104024
1152017125461
122207a064734
13c8a59a8a40
146714520bc4
15376c3d3634
hex1f4cf4e518

134435104024 has 128 divisors (see below), whose sum is σ = 280628409600. Its totient is φ = 59984064000.

The previous prime is 134435104007. The next prime is 134435104031. The reversal of 134435104024 is 420401534431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257045827 + ... + 257046349.

It is an arithmetic number, because the mean of its divisors is an integer number (2192409450).

Almost surely, 2134435104024 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 134435104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140314204800).

134435104024 is an abundant number, since it is smaller than the sum of its proper divisors (146193305576).

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

134435104024 is a wasteful number, since it uses less digits than its factorization.

134435104024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 134435104024 its reverse (420401534431), we get a palindrome (554836638455).

The spelling of 134435104024 in words is "one hundred thirty-four billion, four hundred thirty-five million, one hundred four thousand, twenty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 229 251 344 458 502 523 559 916 1004 1046 1118 1832 2008 2092 2236 2977 3263 4184 4472 5954 6526 6799 9847 10793 11908 13052 13598 19694 21586 22489 23816 26104 27196 39388 43172 44978 54392 57479 78776 86344 89956 114958 119767 128011 131273 140309 179912 229916 239534 256022 262546 280618 292357 459832 479068 512044 525092 561236 584714 747227 958136 1024088 1050184 1122472 1169428 1494454 1556971 1706549 2338856 2471597 2988908 3113942 3413098 4943194 5149981 5644739 5977816 6227884 6826196 9886388 10299962 11289478 12455768 13652392 19772776 20599924 22578956 30061517 32130761 41199848 45157912 60123034 64261522 66949753 73381607 120246068 128523044 133899506 146763214 240492136 257046088 267799012 293526428 390799721 535598024 587052856 781599442 1292645231 1563198884 2585290462 3126397768 5170580924 10341161848 16804388003 33608776006 67217552012 134435104024