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38141416992 = 2537101561961
BaseRepresentation
bin100011100001011001…
…111101011000100000
310122110010210201220210
4203201121331120200
51111103200320432
625304422534120
72520115460310
oct434131753040
9118403721823
1038141416992
11151a2921128
127485597340
13379acc04c3
141bbb805440
15ed375a8cc
hex8e167d620

38141416992 has 96 divisors (see below), whose sum is σ = 115557369984. Its totient is φ = 10789632000.

The previous prime is 38141416979. The next prime is 38141417003. The reversal of 38141416992 is 29961414183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 213109 + ... + 348852.

It is an arithmetic number, because the mean of its divisors is an integer number (1203722604).

Almost surely, 238141416992 is an apocalyptic number.

38141416992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38141416992 is an abundant number, since it is smaller than the sum of its proper divisors (77415952992).

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

38141416992 is a wasteful number, since it uses less digits than its factorization.

38141416992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562082 (or 562074 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The spelling of 38141416992 in words is "thirty-eight billion, one hundred forty-one million, four hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 16968 22624 33936 67872 561961 1123922 1685883 2247844 3371766 3933727 4495688 6743532 7867454 8991376 11801181 13487064 15734908 17982752 23602362 26974128 31469816 47204724 53948256 56758061 62939632 94409448 113516122 125879264 170274183 188818896 227032244 340548366 377637792 397306427 454064488 681096732 794612854 908128976 1191919281 1362193464 1589225708 1816257952 2383838562 2724386928 3178451416 4767677124 5448773856 6356902832 9535354248 12713805664 19070708496 38141416992