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13401233472 = 2631161104021
BaseRepresentation
bin11000111101100011…
…01001100001000000
31021120221210012022110
430132301221201000
5204421203432342
610053442535320
7653044414344
oct143661514100
937527705273
1013401233472
115757713070
122720067540
131357555863
14911b71624
155367aac9c
hex31ec69840

13401233472 has 112 divisors (see below), whose sum is σ = 39315322944. Its totient is φ = 3994368000.

The previous prime is 13401233459. The next prime is 13401233497. The reversal of 13401233472 is 27433210431.

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, 76822 + ... + 180842.

Almost surely, 213401233472 is an apocalyptic number.

13401233472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13401233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19657661472).

13401233472 is an abundant number, since it is smaller than the sum of its proper divisors (25914089472).

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

13401233472 is a wasteful number, since it uses less digits than its factorization.

13401233472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104108 (or 104098 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 13401233472 in words is "thirteen billion, four hundred one million, two hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 132 176 183 192 244 264 352 366 488 528 671 704 732 976 1056 1342 1464 1952 2013 2112 2684 2928 3904 4026 5368 5856 8052 10736 11712 16104 21472 32208 42944 64416 104021 128832 208042 312063 416084 624126 832168 1144231 1248252 1664336 2288462 2496504 3328672 3432693 4576924 4993008 6345281 6657344 6865386 9153848 9986016 12690562 13730772 18307696 19035843 19972032 25381124 27461544 36615392 38071686 50762248 54923088 69798091 73230784 76143372 101524496 109846176 139596182 152286744 203048992 209394273 219692352 279192364 304573488 406097984 418788546 558384728 609146976 837577092 1116769456 1218293952 1675154184 2233538912 3350308368 4467077824 6700616736 13401233472