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114241134023144 = 23197169130834969
BaseRepresentation
bin11001111110011011010110…
…001101100101000111101000
3112222111100100001110001100022
4121332123112031211013220
5104433211320302220034
61042545352532500012
733030435541066502
oct3176332615450750
9488440301401308
10114241134023144
1133445435994407
121099084477a608
134b98b7b3a250b
14202d42c3a6d72
15d31a19e80b2e
hex67e6d63651e8

114241134023144 has 128 divisors (see below), whose sum is σ = 229102909056000. Its totient is φ = 53246841177600.

The previous prime is 114241134023099. The next prime is 114241134023153. The reversal of 114241134023144 is 441320431142411.

It is a super-2 number, since 2×1142411340231442 (a number of 29 digits) contains 22 as substring.

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, 22990767092 + ... + 22990772060.

It is an arithmetic number, because the mean of its divisors is an integer number (1789866477000).

Almost surely, 2114241134023144 is an apocalyptic number.

It is an amenable number.

114241134023144 is an abundant number, since it is smaller than the sum of its proper divisors (114861775032856).

114241134023144 is a wasteful number, since it uses less digits than its factorization.

114241134023144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8839 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 114241134023144 its reverse (441320431142411), we get a palindrome (555561565165555).

The spelling of 114241134023144 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred thirty-four million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 38 71 76 142 152 284 568 691 1349 1382 2698 2764 3083 4969 5396 5528 6166 9938 10792 12332 13129 19876 24664 26258 39752 49061 52516 58577 94411 98122 105032 117154 188822 196244 218893 234308 352799 377644 392488 437786 468616 705598 755288 875572 932159 1411196 1751144 1864318 2130353 2822392 3433579 3728636 4158967 4260706 6703181 6867158 7457272 8317934 8521412 13406362 13734316 15319427 16635868 17042824 26812724 27468632 30638854 33271736 40476707 53625448 61277708 65238001 80953414 122555416 130476002 151255063 161906828 243784109 260952004 291069113 302510126 323813656 487568218 521904008 582138226 605020252 975136436 1087679317 1164276452 1210040504 1950272872 2175358634 2328552904 2873846197 4350717268 4631898071 5747692394 8701434536 9263796142 10585724057 11495384788 18527592284 20665907023 21171448114 22990769576 37055184568 41331814046 42342896228 82663628092 84685792456 165327256184 201128757083 402257514166 751586408047 804515028332 1503172816094 1609030056664 3006345632188 6012691264376 14280141752893 28560283505786 57120567011572 114241134023144