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140191744 = 2117211127
BaseRepresentation
bin10000101101100…
…10100000000000
3100202210110220211
420112302200000
5241342113434
621524443504
73321416200
oct1026624000
9322713824
10140191744
1172153150
123ab49594
13230766c4
1414894400
15c493464
hex85b2800

140191744 has 144 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 54190080.

The previous prime is 140191687. The next prime is 140191759. The reversal of 140191744 is 447191041.

140191744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1103809 + ... + 1103935.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2140191744 is an apocalyptic number.

140191744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140191744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

140191744 is an abundant number, since it is smaller than the sum of its proper divisors (218333696).

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

140191744 is a wasteful number, since it uses less digits than its factorization.

140191744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 140191744 is about 11840.2594566166. The cubic root of 140191744 is about 519.4863567081.

The spelling of 140191744 in words is "one hundred forty million, one hundred ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 127 128 154 176 196 224 254 256 308 352 392 448 508 512 539 616 704 784 889 896 1016 1024 1078 1232 1397 1408 1568 1778 1792 2032 2048 2156 2464 2794 2816 3136 3556 3584 4064 4312 4928 5588 5632 6223 6272 7112 7168 8128 8624 9779 9856 11176 11264 12446 12544 14224 14336 16256 17248 19558 19712 22352 22528 24892 25088 28448 32512 34496 39116 39424 44704 49784 50176 56896 65024 68453 68992 78232 78848 89408 99568 100352 113792 130048 136906 137984 156464 157696 178816 199136 227584 260096 273812 275968 312928 357632 398272 455168 547624 551936 625856 715264 796544 910336 1095248 1103872 1251712 1430528 1593088 1820672 2190496 2503424 2861056 3186176 4380992 5006848 6372352 8761984 10013696 12744704 17523968 20027392 35047936 70095872 140191744