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14212342272 = 293291512113
BaseRepresentation
bin11010011110001111…
…10010001000000000
31100200111000210102010
431033013302020000
5213101324423042
610310135452520
71012123626132
oct151707621000
940614023363
1014212342272
116033551117
122907827140
1314565c7bab
1498b78d052
15582ac959c
hex34f1f2200

14212342272 has 160 divisors (see below), whose sum is σ = 39446225280. Its totient is φ = 4541644800.

The previous prime is 14212342259. The next prime is 14212342337. The reversal of 14212342272 is 27224321241.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6725088 + ... + 6727200.

It is an arithmetic number, because the mean of its divisors is an integer number (246538908).

Almost surely, 214212342272 is an apocalyptic number.

14212342272 is a gapful number since it is divisible by the number (12) 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 14212342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19723112640).

14212342272 is an abundant number, since it is smaller than the sum of its proper divisors (25233883008).

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

14212342272 is a wasteful number, since it uses less digits than its factorization.

14212342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2298 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The spelling of 14212342272 in words is "fourteen billion, two hundred twelve million, three hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 151 174 192 232 256 302 348 384 453 464 512 604 696 768 906 928 1208 1392 1536 1812 1856 2113 2416 2784 3624 3712 4226 4379 4832 5568 6339 7248 7424 8452 8758 9664 11136 12678 13137 14496 14848 16904 17516 19328 22272 25356 26274 28992 33808 35032 38656 44544 50712 52548 57984 61277 67616 70064 77312 101424 105096 115968 122554 135232 140128 183831 202848 210192 231936 245108 270464 280256 319063 367662 405696 420384 490216 540928 560512 638126 735324 811392 840768 957189 980432 1081856 1121024 1276252 1470648 1622784 1681536 1914378 1960864 2242048 2552504 2941296 3245568 3363072 3828756 3921728 5105008 5882592 6726144 7657512 7843456 9252827 10210016 11765184 15315024 15686912 18505654 20420032 23530368 27758481 30630048 31373824 37011308 40840064 47060736 55516962 61260096 74022616 81680128 94121472 111033924 122520192 148045232 163360256 222067848 245040384 296090464 444135696 490080768 592180928 888271392 1184361856 1776542784 2368723712 3553085568 4737447424 7106171136 14212342272