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114002434340536 = 23721632397465219
BaseRepresentation
bin11001111010111101000010…
…100110100011011010111000
3112221122112012122212210110211
4121322331002212203122320
5104420303441142344121
61042243554554120504
733004255412213500
oct3172750246433270
9487575178783424
10114002434340536
1133363185169945
1210952528720134
134b7c4ca51a381
142021a666bca00
15d2a6e9278ce1
hex67af429a36b8

114002434340536 has 96 divisors (see below), whose sum is σ = 251225555616000. Its totient is φ = 48355262794944.

The previous prime is 114002434340521. The next prime is 114002434340581. The reversal of 114002434340536 is 635043434200411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11538535 + ... + 19003753.

It is an arithmetic number, because the mean of its divisors is an integer number (2616932871000).

Almost surely, 2114002434340536 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 114002434340536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125612777808000).

114002434340536 is an abundant number, since it is smaller than the sum of its proper divisors (137223121275464).

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

114002434340536 is a wasteful number, since it uses less digits than its factorization.

114002434340536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465641 (or 7465630 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 114002434340536 its reverse (635043434200411), we get a palindrome (749045868540947).

The spelling of 114002434340536 in words is "one hundred fourteen trillion, two billion, four hundred thirty-four million, three hundred forty thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 163 196 239 326 392 478 652 956 1141 1304 1673 1912 2282 3346 4564 6692 7987 9128 11711 13384 15974 23422 31948 38957 46844 63896 77914 93688 155828 272699 311656 545398 1090796 1908893 2181592 3817786 7465219 7635572 14930438 15271144 29860876 52256533 59721752 104513066 209026132 365795731 418052264 731591462 1216830697 1463182924 1784187341 2433661394 2926365848 3568374682 4867322788 7136749364 8517814879 9734645576 12489311387 14273498728 17035629758 24978622774 34071259516 49957245548 59624704153 68142519032 87425179709 99914491096 119249408306 174850359418 238498816612 290822536583 349700718836 476997633224 581645073166 699401437672 1163290146332 2035757756081 2326580292664 4071515512162 8143031024324 14250304292567 16286062048648 28500608585134 57001217170268 114002434340536