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13114334310042 = 2373794639471879
BaseRepresentation
bin1011111011010110101100…
…1111001110111010011010
31201102201101111200021021010
42332311223033032322122
53204331124040410132
643520350401354350
72522323300244310
oct276655317167232
951381344607233
1013114334310042
1141a6837912119
1215797900389b6
137418a4128504
14334a46b040b0
1517b20203e6cc
hexbed6b3cee9a

13114334310042 has 128 divisors (see below), whose sum is σ = 30167477452800. Its totient is φ = 3723074663616.

The previous prime is 13114334310023. The next prime is 13114334310079. The reversal of 13114334310042 is 24001343341131.

It is a junction number, because it is equal to n+sod(n) for n = 13114334309991 and 13114334310009.

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, 6979421259 + ... + 6979423137.

It is an arithmetic number, because the mean of its divisors is an integer number (235683417600).

Almost surely, 213114334310042 is an apocalyptic number.

13114334310042 is an abundant number, since it is smaller than the sum of its proper divisors (17053143142758).

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

13114334310042 is a wasteful number, since it uses less digits than its factorization.

13114334310042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13114334310042 its reverse (24001343341131), we get a palindrome (37115677651173).

The spelling of 13114334310042 in words is "thirteen trillion, one hundred fourteen billion, three hundred thirty-four million, three hundred ten thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 379 463 758 926 947 1137 1389 1879 1894 2274 2653 2778 2841 3241 3758 5306 5637 5682 6482 6629 7959 9723 11274 13153 13258 15918 19446 19887 26306 39459 39774 78918 175477 350954 358913 438461 526431 712141 717826 869977 876922 1052862 1076739 1228339 1315383 1424282 1739954 1779413 2136423 2153478 2456678 2512391 2609931 2630766 3069227 3558826 3685017 4272846 4984987 5024782 5219862 5338239 6089839 6138454 7370034 7537173 9207681 9969974 10676478 12179678 12455891 14954961 15074346 18269517 18415362 24911782 29909922 36539034 37367673 74735346 166176719 329721283 332353438 498530157 659442566 674397527 823868219 989163849 997060314 1163237033 1348795054 1647736438 1978327698 2023192581 2308048981 2326474066 2471604657 3489711099 4046385162 4616097962 4720782689 4943209314 5767077533 6924146943 6979422198 9441565378 11534155066 13848293886 14162348067 17301232599 28324696134 34602465198 312246055001 624492110002 936738165003 1873476330006 2185722385007 4371444770014 6557167155021 13114334310042