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214112885448 = 2337111131025327
BaseRepresentation
bin1100011101101000011…
…1110101101011001000
3202110122220011112210110
43013122013311223020
512002000344313243
6242210114114320
721316626332430
oct3073207655310
9673586145713
10214112885448
11828941619a0
12355b5b7b9a0
1317263133877
14a5125812c0
155882454e33
hex31da1f5ac8

214112885448 has 128 divisors (see below), whose sum is σ = 673271377920. Its totient is φ = 55121525760.

The previous prime is 214112885443. The next prime is 214112885527. The reversal of 214112885448 is 844588211412.

It is a junction number, because it is equal to n+sod(n) for n = 214112885397 and 214112885406.

It is not an unprimeable number, because it can be changed into a prime (214112885443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303840 + ... + 721487.

It is an arithmetic number, because the mean of its divisors is an integer number (5259932640).

Almost surely, 2214112885448 is an apocalyptic number.

214112885448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214112885448 is an abundant number, since it is smaller than the sum of its proper divisors (459158492472).

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

214112885448 is a wasteful number, since it uses less digits than its factorization.

214112885448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025467 (or 1025463 counting only the distinct ones).

The product of its digits is 655360, while the sum is 48.

The spelling of 214112885448 in words is "two hundred fourteen billion, one hundred twelve million, eight hundred eighty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 113 132 154 168 226 231 264 308 339 452 462 616 678 791 904 924 1243 1356 1582 1848 2373 2486 2712 3164 3729 4746 4972 6328 7458 8701 9492 9944 14916 17402 18984 26103 29832 34804 52206 69608 104412 208824 1025327 2050654 3075981 4101308 6151962 7177289 8202616 11278597 12303924 14354578 21531867 22557194 24607848 28709156 33835791 43063734 45114388 57418312 67671582 78950179 86127468 90228776 115861951 135343164 157900358 172254936 231723902 236850537 270686328 315800716 347585853 463447804 473701074 631601432 695171706 811033657 926895608 947402148 1274481461 1390343412 1622067314 1894804296 2433100971 2548962922 2780686824 3244134628 3823444383 4866201942 5097925844 6488269256 7646888766 8921370227 9732403884 10195851688 15293777532 17842740454 19464807768 26764110681 30587555064 35685480908 53528221362 71370961816 107056442724 214112885448