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126314214432 = 2537187967581
BaseRepresentation
bin111010110100011101…
…0011111010000100000
3110002001001110221100020
41311220322133100200
54032142414330212
6134010011553440
712061120051560
oct1655072372040
9402031427306
10126314214432
114962a09895a
122059245b880
13bbb03b9b23
146183b88da0
1534444a8d8c
hex1d68e9f420

126314214432 has 48 divisors (see below), whose sum is σ = 378942645312. Its totient is φ = 36089775360.

The previous prime is 126314214427. The next prime is 126314214479. The reversal of 126314214432 is 234412413621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126314214393 and 126314214402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93983119 + ... + 93984462.

It is an arithmetic number, because the mean of its divisors is an integer number (7894638444).

Almost surely, 2126314214432 is an apocalyptic number.

126314214432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126314214432 is an abundant number, since it is smaller than the sum of its proper divisors (252628430880).

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

126314214432 is a wasteful number, since it uses less digits than its factorization.

126314214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187967601 (or 187967593 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The spelling of 126314214432 in words is "one hundred twenty-six billion, three hundred fourteen million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 187967581 375935162 563902743 751870324 1127805486 1315773067 1503740648 2255610972 2631546134 3007481296 3947319201 4511221944 5263092268 6014962592 7894638402 9022443888 10526184536 15789276804 18044887776 21052369072 31578553608 42104738144 63157107216 126314214432