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214423109472 = 253111315619399
BaseRepresentation
bin1100011110110010011…
…1001111111101100000
3202111110111220120011010
43013230213033331200
512003114304000342
6242300555220520
721330414233565
oct3075447177540
9674414816133
10214423109472
1182a33289890
1235681a47740
13172b24a1190
14a54185686c
15589e7d329c
hex31ec9cff60

214423109472 has 96 divisors (see below), whose sum is σ = 661262918400. Its totient is φ = 59978488320.

The previous prime is 214423109441. The next prime is 214423109473. The reversal of 214423109472 is 274901324412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2144231094722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 214423109472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214423109473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7795972 + ... + 7823427.

It is an arithmetic number, because the mean of its divisors is an integer number (6888155400).

Almost surely, 2214423109472 is an apocalyptic number.

214423109472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214423109472 is an abundant number, since it is smaller than the sum of its proper divisors (446839808928).

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

214423109472 is a wasteful number, since it uses less digits than its factorization.

214423109472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15619436 (or 15619428 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 214423109472 in words is "two hundred fourteen billion, four hundred twenty-three million, one hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 15619399 31238798 46858197 62477596 93716394 124955192 171813389 187432788 203052187 249910384 343626778 374865576 406104374 499820768 515440167 609156561 687253556 749731152 812208748 1030880334 1218313122 1374507112 1499462304 1624417496 2061760668 2233574057 2436626244 2749014224 3248834992 4123521336 4467148114 4873252488 5498028448 6497669984 6700722171 8247042672 8934296228 9746504976 13401444342 16494085344 17868592456 19493009952 26802888684 35737184912 53605777368 71474369824 107211554736 214423109472