Search a number
-
+
14919610944 = 26373226549
BaseRepresentation
bin11011110010100011…
…10011001001000000
31102111202212202122010
431321101303021000
5221023410022234
610504243012520
71035502413000
oct157121631100
942452782563
1014919610944
116366805587
122a8466a140
131539cb0874
14a1769a000
155c4c356e9
hex379473240

14919610944 has 112 divisors (see below), whose sum is σ = 46034960000. Its totient is φ = 4262727168.

The previous prime is 14919610919. The next prime is 14919611029. The reversal of 14919610944 is 44901691941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×149196109442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14919610893 and 14919610902.

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, 47419 + ... + 179130.

Almost surely, 214919610944 is an apocalyptic number.

14919610944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14919610944 is an abundant number, since it is smaller than the sum of its proper divisors (31115349056).

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

14919610944 is an equidigital number, since it uses as much as digits as its factorization.

14919610944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226585 (or 226561 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 14919610944 in words is "fourteen billion, nine hundred nineteen million, six hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 226549 453098 679647 906196 1359294 1585843 1812392 2718588 3171686 3624784 4757529 5437176 6343372 7249568 9515058 10874352 11100901 12686744 14499136 19030116 21748704 22201802 25373488 33302703 38060232 43497408 44403604 50746976 66605406 76120464 77706307 88807208 101493952 133210812 152240928 155412614 177614416 233118921 266421624 304481856 310825228 355228832 466237842 532843248 621650456 710457664 932475684 1065686496 1243300912 1864951368 2131372992 2486601824 3729902736 4973203648 7459805472 14919610944