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140882751315216 = 2432312319072
BaseRepresentation
bin100000000010000111010010…
…010110001101110100010000
3200110211021000011120122112100
4200002013102112031310100
5121431210333314041331
61215344350435200400
741450304624461631
oct4002072226156420
9613737004518470
10140882751315216
1140987048347949
1213974030446100
13607c256804541
1426b0a9397b888
151144a3c5bbae6
hex8021d258dd10

140882751315216 has 135 divisors (see below), whose sum is σ = 407417660651703. Its totient is φ = 45444624482880.

The previous prime is 140882751315139. The next prime is 140882751315253. The reversal of 140882751315216 is 612513157288041.

The square root of 140882751315216 is 11869404.

It is a perfect power (a square), and thus also a powerful number.

140882751315216 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 82 + 7 + 5 + 1 + 31 + 521 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4415402335 + ... + 4415434241.

Almost surely, 2140882751315216 is an apocalyptic number.

140882751315216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140882751315216 is the 11869404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140882751315216

140882751315216 is an abundant number, since it is smaller than the sum of its proper divisors (266534909336487).

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

140882751315216 is an frugal number, since it uses more digits than its factorization.

140882751315216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63890 (or 31943 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 140882751315216 in words is "one hundred forty trillion, eight hundred eighty-two billion, seven hundred fifty-one million, three hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3844 4464 5766 7688 8649 11532 15376 17298 23064 31907 34596 46128 63814 69192 95721 127628 138384 191442 255256 287163 382884 510512 574326 765768 989117 1148652 1531536 1978234 2297304 2967351 3956468 4594608 5934702 7912936 8902053 11869404 15825872 17804106 23738808 30662627 35608212 47477616 61325254 71216424 91987881 122650508 142432848 183975762 245301016 275963643 367951524 490602032 551927286 735903048 1018056649 1103854572 1471806096 2036113298 2207709144 3054169947 4072226596 4415418288 6108339894 8144453192 9162509841 12216679788 16288906384 18325019682 24433359576 31559756119 36650039364 48866719152 63119512238 73300078728 94679268357 126239024476 146600157456 189358536714 252478048952 284037805071 378717073428 504956097904 568075610142 757434146856 978352439689 1136151220284 1514868293712 1956704879378 2272302440568 2935057319067 3913409758756 4544604881136 5870114638134 7826819517512 8805171957201 11740229276268 15653639035024 17610343914402 23480458552536 35220687828804 46960917105072 70441375657608 140882751315216