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119940312976 = 241121724632
BaseRepresentation
bin110111110110011111…
…1111110111110010000
3102110120211212012021221
41233230333332332100
53431114210003401
6131033321054424
711444142560521
oct1575477767620
9373524765257
10119940312976
11469591a8400
121b2b3927414
13b405a199c3
145b3b44a848
1531beb157a1
hex1becffef90

119940312976 has 135 divisors (see below), whose sum is σ = 271927232913. Its totient is φ = 51200540160.

The previous prime is 119940312941. The next prime is 119940312977. The reversal of 119940312976 is 679213049911.

The square root of 119940312976 is 346324.

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

It can be written as a sum of positive squares in only one way, i.e., 93379136400 + 26561176576 = 305580^2 + 162976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (119940312977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259050121 + ... + 259050583.

Almost surely, 2119940312976 is an apocalyptic number.

119940312976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

119940312976 is the 346324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119940312976

119940312976 is an abundant number, since it is smaller than the sum of its proper divisors (151986919937).

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

119940312976 is an equidigital number, since it uses as much as digits as its factorization.

119940312976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 119940312976 in words is "one hundred nineteen billion, nine hundred forty million, three hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 289 374 463 484 578 748 926 968 1156 1496 1852 1936 2057 2312 2992 3179 3704 4114 4624 5093 6358 7408 7871 8228 10186 12716 15742 16456 20372 25432 31484 32912 34969 40744 50864 56023 62968 69938 81488 86581 112046 125936 133807 139876 173162 214369 224092 267614 279752 346324 428738 448184 535228 559504 692648 857476 896368 952391 1070456 1385296 1471877 1714952 1904782 2140912 2358059 2943754 3429904 3644273 3809564 4716118 5887508 7288546 7619128 9432236 11775016 14577092 15238256 16190647 18864472 23550032 25938649 29154184 32381294 37728944 40087003 51877298 58308368 61952641 64762588 80174006 103754596 123905282 129525176 160348012 207509192 247810564 259050352 320696024 415018384 440957033 495621128 641392048 681479051 881914066 991242256 1362958102 1763828132 2725916204 3527656264 5451832408 7055312528 7496269561 10903664816 14992539122 29985078244 59970156488 119940312976