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14904629844 = 22313217716089
BaseRepresentation
bin11011110000110001…
…01001101001010100
31102110201200122102120
431320120221221110
5221011041123334
610502545535540
71035231156216
oct157030515124
942421618376
1014904629844
116359303005
122a7b6445b0
131536b66a00
14a156ba5b6
155c3776949
hex378629a54

14904629844 has 144 divisors (see below), whose sum is σ = 40441887360. Its totient is φ = 4254781440.

The previous prime is 14904629833. The next prime is 14904629851. The reversal of 14904629844 is 44892640941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444752 + ... + 2450840.

It is an arithmetic number, because the mean of its divisors is an integer number (280846440).

Almost surely, 214904629844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14904629844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20220943680).

14904629844 is an abundant number, since it is smaller than the sum of its proper divisors (25537257516).

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

14904629844 is a wasteful number, since it uses less digits than its factorization.

14904629844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 14904629844 in words is "fourteen billion, nine hundred four million, six hundred twenty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 71 78 102 142 156 169 204 213 221 284 338 426 442 507 663 676 852 884 923 1014 1207 1326 1846 2028 2414 2652 2769 2873 3621 3692 4828 5538 5746 6089 7242 8619 11076 11492 11999 12178 14484 15691 17238 18267 23998 24356 31382 34476 35997 36534 47073 47996 62764 71994 73068 79157 94146 103513 143988 158314 188292 203983 207026 237471 310539 316628 407966 414052 432319 474942 611949 621078 815932 864638 949884 1029041 1223898 1242156 1296957 1345669 1729276 2058082 2447796 2593914 2691338 3087123 4037007 4116164 5187828 5382676 5620147 6174246 7349423 8074014 11240294 12348492 14698846 16148028 16860441 17493697 22048269 22480588 29397692 33720882 34987394 44096538 52481091 67441764 69974788 73061911 88193076 95542499 104962182 146123822 191084998 209924364 219185733 286627497 292247644 382169996 438371466 573254994 876742932 1146509988 1242052487 2484104974 3726157461 4968209948 7452314922 14904629844