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2342334414042 = 233710171985331
BaseRepresentation
bin100010000101011110000…
…000101011110011011010
322021220222022102221021000
4202011132000223303122
5301334100102222132
64552015323325430
7331141142004150
oct42053600536332
98256868387230
102342334414042
11823418791a27
12319b63080876
1313cb5bc797cc
14815262293d0
1540de209187c
hex2215e02bcda

2342334414042 has 128 divisors (see below), whose sum is σ = 6016110796800. Its totient is φ = 661682952000.

The previous prime is 2342334413999. The next prime is 2342334414053. The reversal of 2342334414042 is 2404144332432.

2342334414042 is a `hidden beast` number, since 2 + 3 + 4 + 233 + 4 + 414 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2342334413988 and 2342334414006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27407317 + ... + 27492647.

It is an arithmetic number, because the mean of its divisors is an integer number (47000865600).

Almost surely, 22342334414042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342334414042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008055398400).

2342334414042 is an abundant number, since it is smaller than the sum of its proper divisors (3673776382758).

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

2342334414042 is a wasteful number, since it uses less digits than its factorization.

2342334414042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86169 (or 86163 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 2342334414042 its reverse (2404144332432), we get a palindrome (4746478746474).

The spelling of 2342334414042 in words is "two trillion, three hundred forty-two billion, three hundred thirty-four million, four hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 719 909 1414 1438 1818 2121 2157 2727 4242 4314 5033 5454 6363 6471 10066 12726 12942 15099 19089 19413 30198 38178 38826 45297 72619 85331 90594 135891 145238 170662 217857 255993 271782 435714 508333 511986 597317 653571 767979 1016666 1194634 1307142 1524999 1535958 1791951 1960713 2303937 3049998 3583902 3921426 4574997 4607874 5375853 8618431 9149994 10751706 13724991 16127559 17236862 25855293 27449982 32255118 51710586 60329017 61352989 77565879 120658034 122705978 155131758 180987051 184058967 232697637 361974102 368117934 429470923 465395274 542961153 552176901 858941846 1085922306 1104353802 1288412769 1628883459 1656530703 2576825538 3257766918 3313061406 3865238307 6196651889 7730476614 11595714921 12393303778 18589955667 23191429842 37179911334 43376563223 55769867001 86753126446 111539734002 130129689669 167309601003 260259379338 334619202006 390389069007 780778138014 1171167207021 2342334414042