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42412131402040 = 23514595197139837
BaseRepresentation
bin10011010010010110110000…
…00001101100000100111000
312120011120010100201022100001
421221023120001230010320
521024340021114331130
6230111510355322344
711635114103466631
oct1151133001540470
9176146110638301
1042412131402040
111257197a549154
12490b908bb03b4
131a885a68bb66a
14a68a88392888
154d838466c6ca
hex2692d806c138

42412131402040 has 64 divisors (see below), whose sum is σ = 95511759213600. Its totient is φ = 16949841504768.

The previous prime is 42412131402037. The next prime is 42412131402071. The reversal of 42412131402040 is 4020413121424.

It is a super-2 number, since 2×424121314020402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303227002 + ... + 303366838.

Almost surely, 242412131402040 is an apocalyptic number.

42412131402040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42412131402040 is an abundant number, since it is smaller than the sum of its proper divisors (53099627811560).

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

42412131402040 is a wasteful number, since it uses less digits than its factorization.

42412131402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146504 (or 146500 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42412131402040 its reverse (4020413121424), we get a palindrome (46432544523464).

The spelling of 42412131402040 in words is "forty-two trillion, four hundred twelve billion, one hundred thirty-one million, four hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1459 2918 5197 5836 7295 10394 11672 14590 20788 25985 29180 41576 51970 58360 103940 139837 207880 279674 559348 699185 1118696 1398370 2796740 5593480 7582423 15164846 30329692 37912115 60659384 75824230 151648460 204022183 303296920 408044366 726732889 816088732 1020110915 1453465778 1632177464 2040221830 2906931556 3633664445 4080443660 5813863112 7267328890 8160887320 14534657780 29069315560 1060303285051 2120606570102 4241213140204 5301516425255 8482426280408 10603032850510 21206065701020 42412131402040