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214401332112 = 24311715719199
BaseRepresentation
bin1100011110101101010…
…0001011001110010000
3202111101222221011020020
43013223110023032100
512003043220111422
6242254500343440
721330031153002
oct3075324131620
9674358834206
10214401332112
1182a21a65170
12356766a4b80
13172aab17a76
14a53c9c8372
15589c93095c
hex31eb50b390

214401332112 has 80 divisors (see below), whose sum is σ = 612732211200. Its totient is φ = 64055017600.

The previous prime is 214401332087. The next prime is 214401332147. The reversal of 214401332112 is 211233104412.

It is a super-2 number, since 2×2144013321122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2822112 + ... + 2897087.

It is an arithmetic number, because the mean of its divisors is an integer number (7659152640).

Almost surely, 2214401332112 is an apocalyptic number.

214401332112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214401332112 is an abundant number, since it is smaller than the sum of its proper divisors (398330879088).

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

214401332112 is a wasteful number, since it uses less digits than its factorization.

214401332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719292 (or 5719286 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214401332112 its reverse (211233104412), we get a palindrome (425634436524).

The spelling of 214401332112 in words is "two hundred fourteen billion, four hundred one million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 2343 3124 3408 4686 6248 9372 12496 18744 37488 5719199 11438398 17157597 22876796 34315194 45753592 62911189 68630388 91507184 125822378 137260776 188733567 251644756 274521552 377467134 406063129 503289512 754934268 812126258 1006579024 1218189387 1509868536 1624252516 2436378774 3019737072 3248505032 4466694419 4872757548 6497010064 8933388838 9745515096 13400083257 17866777676 19491030192 26800166514 35733555352 53600333028 71467110704 107200666056 214401332112