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42142634440 = 2353737677559
BaseRepresentation
bin100111001111111001…
…011001000111001000
311000202222210122101121
4213033321121013020
51142302003300230
631205434525024
73021222324304
oct471771310710
9130688718347
1042142634440
1116966467005
128201596774
133c87c4a0aa
14207ad94d04
151169b7177a
hex9cfe591c8

42142634440 has 64 divisors (see below), whose sum is σ = 97422393600. Its totient is φ = 16394934528.

The previous prime is 42142634383. The next prime is 42142634509. The reversal of 42142634440 is 4443624124.

It is a super-2 number, since 2×421426344402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42142634396 and 42142634405.

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 15 ways as a sum of consecutive naturals, for example, 5571381 + ... + 5578939.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224900).

Almost surely, 242142634440 is an apocalyptic number.

42142634440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42142634440 is an abundant number, since it is smaller than the sum of its proper divisors (55279759160).

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

42142634440 is a wasteful number, since it uses less digits than its factorization.

42142634440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 42142634440 in words is "forty-two billion, one hundred forty-two million, six hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 3767 7534 7559 15068 15118 18835 30136 30236 37670 37795 60472 75340 75590 139379 150680 151180 278758 279683 302360 557516 559366 696895 1115032 1118732 1393790 1398415 2237464 2787580 2796830 5575160 5593660 11187320 28474753 56949506 113899012 142373765 227798024 284747530 569495060 1053565861 1138990120 2107131722 4214263444 5267829305 8428526888 10535658610 21071317220 42142634440