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10413423124434 = 2341119673457001
BaseRepresentation
bin1001011110001001000001…
…1000101101111111010010
31100212111212100202222220000
42113202100120231333102
52331103142304440214
634051505513230430
72123226222046011
oct227422030557722
940774770688800
1010413423124434
113355342970490
121202236402416
135a6c9b715435
14280025d20a78
15130d24ebd809
hex9789062dfd2

10413423124434 has 160 divisors (see below), whose sum is σ = 26834645597760. Its totient is φ = 2985050880000.

The previous prime is 10413423124421. The next prime is 10413423124451. The reversal of 10413423124434 is 43442132431401.

10413423124434 is a `hidden beast` number, since 1 + 0 + 41 + 342 + 3 + 1 + 244 + 34 = 666.

10413423124434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22557934 + ... + 23014934.

It is an arithmetic number, because the mean of its divisors is an integer number (167716534986).

Almost surely, 210413423124434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413423124434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417322798880).

10413423124434 is an abundant number, since it is smaller than the sum of its proper divisors (16421222473326).

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

10413423124434 is a wasteful number, since it uses less digits than its factorization.

10413423124434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457718 (or 457709 counting only the distinct ones).

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

Adding to 10413423124434 its reverse (43442132431401), we get a palindrome (53855555555835).

The spelling of 10413423124434 in words is "ten trillion, four hundred thirteen billion, four hundred twenty-three million, one hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 673 891 1026 1254 1346 1539 1782 1881 2019 3078 3762 4038 5643 6057 7403 11286 12114 12787 14806 16929 18171 22209 25574 33858 36342 38361 44418 54513 66627 76722 109026 115083 133254 140657 199881 230166 281314 345249 399762 421971 457001 599643 690498 843942 914002 1035747 1199286 1265913 1371003 2071494 2531826 2742006 3797739 4113009 5027011 7595478 8226018 8683019 10054022 11393217 12339027 15081033 17366038 22786434 24678054 26049057 30162066 37017081 45243099 52098114 74034162 78147171 90486198 95513209 135729297 156294342 191026418 234441513 271458594 286539627 307561673 407187891 468883026 573079254 615123346 703324539 814375782 859618881 922685019 1406649078 1719237762 1845370038 2578856643 2768055057 3383178403 5157713286 5536110114 5843671787 6766356806 7736569929 8304165171 10149535209 11687343574 15473139858 16608330342 17531015361 20299070418 24912495513 30448605627 35062030722 49824991026 52593046083 60897211254 64280389657 91345816881 105186092166 128560779314 157779138249 182691633762 192841168971 274037450643 315558276498 385682337942 473337414747 548074901286 578523506913 946674829494 1157047013826 1735570520739 3471141041478 5206711562217 10413423124434