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14014771456 = 28741512
BaseRepresentation
bin11010000110101100…
…00111000100000000
31100011201021011012111
431003112013010000
5212200240141311
610234401105104
71004204410000
oct150326070400
940151234174
1014014771456
115a41a78254
122871628194
1314246b149a
1496d440000
1557059ed21
hex343587100

14014771456 has 135 divisors (see below), whose sum is σ = 32852881383. Its totient is φ = 5966553600.

The previous prime is 14014771439. The next prime is 14014771471. The reversal of 14014771456 is 65417741041.

The square root of 14014771456 is 118384.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 92812981 + ... + 92813131.

Almost surely, 214014771456 is an apocalyptic number.

14014771456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14014771456 is the 118384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014771456

14014771456 is an abundant number, since it is smaller than the sum of its proper divisors (18838109927).

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

14014771456 is an frugal number, since it uses more digits than its factorization.

14014771456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 14014771456 in words is "fourteen billion, fourteen million, seven hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 151 196 224 256 302 343 392 448 604 686 784 896 1057 1208 1372 1568 1792 2114 2401 2416 2744 3136 4228 4802 4832 5488 6272 7399 8456 9604 9664 10976 12544 14798 16912 19208 19328 21952 22801 29596 33824 38416 38656 43904 45602 51793 59192 67648 76832 87808 91204 103586 118384 135296 153664 159607 182408 207172 236768 270592 307328 319214 362551 364816 414344 473536 614656 638428 725102 729632 828688 947072 1117249 1276856 1450204 1459264 1657376 1894144 2234498 2553712 2900408 2918528 3314752 4468996 5107424 5800816 5837056 6629504 7820743 8937992 10214848 11601632 13259008 15641486 17875984 20429696 23203264 31282972 35751968 40859392 46406528 54745201 62565944 71503936 92813056 109490402 125131888 143007872 218980804 250263776 286015744 437961608 500527552 875923216 1001055104 1751846432 2002110208 3503692864 7007385728 14014771456