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140188944 = 24373143313
BaseRepresentation
bin10000101101100…
…01110100010000
3100202210100002010
420112301310100
5241342021234
621524422520
73321405060
oct1026616420
9322710063
10140188944
1172151035
123ab47a40
132307534c
14148933a0
15c4926e9
hex85b1d10

140188944 has 160 divisors (see below), whose sum is σ = 438575104. Its totient is φ = 37739520.

The previous prime is 140188931. The next prime is 140188999. The reversal of 140188944 is 449881041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447732 + ... + 448044.

Almost surely, 2140188944 is an apocalyptic number.

140188944 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 140188944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219287552).

140188944 is an abundant number, since it is smaller than the sum of its proper divisors (298386160).

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

140188944 is a wasteful number, since it uses less digits than its factorization.

140188944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 140188944 is about 11840.1412153741. The cubic root of 140188944 is about 519.4828981795.

The spelling of 140188944 in words is "one hundred forty million, one hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 43 48 56 62 84 86 93 112 124 129 168 172 186 217 248 258 301 313 336 344 372 434 496 516 602 626 651 688 744 868 903 939 1032 1204 1252 1302 1333 1488 1736 1806 1878 2064 2191 2408 2504 2604 2666 3472 3612 3756 3999 4382 4816 5008 5208 5332 6573 7224 7512 7998 8764 9331 9703 10416 10664 13146 13459 14448 15024 15996 17528 18662 19406 21328 26292 26918 27993 29109 31992 35056 37324 38812 40377 52584 53836 55986 58218 63984 67921 74648 77624 80754 94213 105168 107672 111972 116436 135842 149296 155248 161508 188426 203763 215344 223944 232872 271684 282639 323016 376852 407526 417229 447888 465744 543368 565278 646032 753704 815052 834458 1086736 1130556 1251687 1507408 1630104 1668916 2261112 2503374 2920603 3260208 3337832 4522224 5006748 5841206 6675664 8761809 10013496 11682412 17523618 20026992 23364824 35047236 46729648 70094472 140188944