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140937582816 = 253217231251577
BaseRepresentation
bin1000001101000010001…
…0001101100011100000
3111110210011221000120200
42003100202031203200
54302120010122231
6144425033305200
713116364454622
oct2032042154340
9443704830520
10140937582816
1154853655a78
1223393865200
13103a0bb6c24
146b6dd6cc12
1539ed1c3be6
hex20d088d8e0

140937582816 has 144 divisors (see below), whose sum is σ = 442818309024. Its totient is φ = 42293256192.

The previous prime is 140937582757. The next prime is 140937582817. The reversal of 140937582816 is 618285739041.

140937582816 is a `hidden beast` number, since 1 + 40 + 9 + 3 + 7 + 582 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140937582817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513181 + ... + 738396.

It is an arithmetic number, because the mean of its divisors is an integer number (3075127146).

It is a 1-persistent number, because it is pandigital, but 2⋅140937582816 = 281875165632 is not.

Almost surely, 2140937582816 is an apocalyptic number.

140937582816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

140937582816 is an abundant number, since it is smaller than the sum of its proper divisors (301880726208).

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

140937582816 is a wasteful number, since it uses less digits than its factorization.

140937582816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251633 (or 1251622 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 140937582816 in words is "one hundred forty billion, nine hundred thirty-seven million, five hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 68 69 72 92 96 102 136 138 144 153 184 204 207 272 276 288 306 368 391 408 414 544 552 612 736 782 816 828 1104 1173 1224 1564 1632 1656 2208 2346 2448 3128 3312 3519 4692 4896 6256 6624 7038 9384 12512 14076 18768 28152 37536 56304 112608 1251577 2503154 3754731 5006308 7509462 10012616 11264193 15018924 20025232 21276809 22528386 28786271 30037848 40050464 42553618 45056772 57572542 60075696 63830427 85107236 86358813 90113544 115145084 120151392 127660854 170214472 172717626 180227088 191491281 230290168 255321708 259076439 340428944 345435252 360454176 382982562 460580336 489366607 510643416 518152878 680857888 690870504 765965124 921160672 978733214 1021286832 1036305756 1381741008 1468099821 1531930248 1957466428 2042573664 2072611512 2763482016 2936199642 3063860496 3914932856 4145223024 4404299463 5872399284 6127720992 7829865712 8290446048 8808598926 11744798568 15659731424 17617197852 23489597136 35234395704 46979194272 70468791408 140937582816