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238065490142376 = 233132366431601797
BaseRepresentation
bin110110001000010011110000…
…111110010010010010101000
31011012220211122022222011011120
4312020103300332102102220
5222200431110434024001
62202153435405455240
7101100443530035051
oct6610236076222250
91135824568864146
10238065490142376
1169945009915946
122284a82ab71520
13a2ab6302c1300
1442b0607311728
151c7c96a505236
hexd884f0f924a8

238065490142376 has 96 divisors (see below), whose sum is σ = 644485219313760. Its totient is φ = 73248875271936.

The previous prime is 238065490142369. The next prime is 238065490142377. The reversal of 238065490142376 is 673241094560832.

It is not an unprimeable number, because it can be changed into a prime (238065490142377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147823110 + ... + 149424906.

It is an arithmetic number, because the mean of its divisors is an integer number (6713387701185).

It is a 2-persistent number, because it is pandigital, and so is 2⋅238065490142376 = 476130980284752, but 3⋅238065490142376 = 714196470427128 is not.

Almost surely, 2238065490142376 is an apocalyptic number.

238065490142376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

238065490142376 is an abundant number, since it is smaller than the sum of its proper divisors (406419729171384).

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

238065490142376 is a wasteful number, since it uses less digits than its factorization.

238065490142376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638475 (or 1638458 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 238065490142376 in words is "two hundred thirty-eight trillion, sixty-five billion, four hundred ninety million, one hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 36643 73286 109929 146572 219858 293144 439716 476359 879432 952718 1429077 1601797 1905436 2858154 3203594 3810872 4805391 5716308 6192667 6407188 9610782 11432616 12385334 12814376 18578001 19221564 20823361 24770668 37156002 38443128 41646722 49541336 62470083 74312004 83293444 124940166 148624008 166586888 249880332 270703693 499760664 541407386 812111079 1082814772 1624222158 2165629544 3248444316 6496888632 58694647471 117389294942 176083942413 234778589884 352167884826 469557179768 704335769652 763030417123 1408671539304 1526060834246 2289091251369 3052121668492 4578182502738 6104243336984 9156365005476 9919395422599 18312730010952 19838790845198 29758186267797 39677581690396 59516372535594 79355163380792 119032745071188 238065490142376