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14292974880 = 253451102853
BaseRepresentation
bin11010100111110110…
…10111110100100000
31100220002202100120000
431103323113310200
5213233000144010
610322140020000
71014123165462
oct152373276440
940802670500
1014292974880
116075014638
12292a831600
13146a21a1b2
1499837c132
15589c057c0
hex353ed7d20

14292974880 has 120 divisors (see below), whose sum is σ = 50442336252. Its totient is φ = 3811456512.

The previous prime is 14292974879. The next prime is 14292974881. The reversal of 14292974880 is 8847929241.

It is an interprime number because it is at equal distance from previous prime (14292974879) and next prime (14292974881).

It can be written as a sum of positive squares in 2 ways, for example, as 14276426256 + 16548624 = 119484^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×142929748802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14292974881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 538467 + ... + 564386.

Almost surely, 214292974880 is an apocalyptic number.

14292974880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14292974880 is an abundant number, since it is smaller than the sum of its proper divisors (36149361372).

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

14292974880 is a wasteful number, since it uses less digits than its factorization.

14292974880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102880 (or 1102863 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 14292974880 in words is "fourteen billion, two hundred ninety-two million, nine hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 1102853 2205706 3308559 4411412 5514265 6617118 8822824 9925677 11028530 13234236 16542795 17645648 19851354 22057060 26468472 29777031 33085590 35291296 39702708 44114120 49628385 52936944 59554062 66171180 79405416 88228240 89331093 99256770 105873888 119108124 132342360 148885155 158810832 176456480 178662186 198513540 238216248 264684720 297770310 317621664 357324372 397027080 446655465 476432496 529369440 595540620 714648744 794054160 893310930 952864992 1191081240 1429297488 1588108320 1786621860 2382162480 2858594976 3573243720 4764324960 7146487440 14292974880