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104132224132434 = 233231494363128971
BaseRepresentation
bin10111101011010100101100…
…001110101010010101010010
3111122200221110202001002222000
4113223110230032222111102
5102122100243334214214
61005245403334454430
730635206405552011
oct2753245416522522
9448627422032860
10104132224132434
11301a825688a553
12b819633204416
13461481b846ba4
141ba0052b7aa78
15c08ab89c5809
hex5eb52c3aa552

104132224132434 has 128 divisors (see below), whose sum is σ = 243144205056000. Its totient is φ = 32970934941120.

The previous prime is 104132224132427. The next prime is 104132224132477. The reversal of 104132224132434 is 434231422231401.

104132224132434 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 322 + 2 + 4 + 1 + 324 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807343569 + ... + 807472539.

It is an arithmetic number, because the mean of its divisors is an integer number (1899564102000).

Almost surely, 2104132224132434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104132224132434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121572102528000).

104132224132434 is an abundant number, since it is smaller than the sum of its proper divisors (139011980923566).

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

104132224132434 is a wasteful number, since it uses less digits than its factorization.

104132224132434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133517 (or 133511 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 104132224132434 its reverse (434231422231401), we get a palindrome (538363646363835).

The spelling of 104132224132434 in words is "one hundred four trillion, one hundred thirty-two billion, two hundred twenty-four million, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 149 207 298 414 447 621 894 1242 1341 2682 3427 4023 4363 6854 8046 8726 10281 13089 20562 26178 30843 39267 61686 78534 92529 100349 117801 128971 185058 200698 235602 257942 301047 386913 602094 650087 773826 903141 1160739 1300174 1806282 1950261 2321478 2709423 2966333 3482217 3900522 5418846 5850783 5932666 6964434 8898999 11701566 14952001 17552349 17797998 19216679 26696997 29904002 35104698 38433358 44856003 53393994 57650037 80090991 89712006 115300074 134568009 160181982 172950111 269136018 345900222 403704027 441983617 518850333 562700473 807408054 883967234 1037700666 1125400946 1325950851 1688101419 2651901702 3376202838 3977852553 5064304257 7955705106 10128608514 11933557659 12942110879 15192912771 23867115318 25884221758 30385825542 38826332637 77652665274 83842370477 116478997911 167684740954 232957995822 251527111431 349436993733 503054222862 698873987466 754581334293 1509162668586 1928374520971 2263744002879 3856749041942 4527488005758 5785123562913 11570247125826 17355370688739 34710741377478 52066112066217 104132224132434