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194052144 = 2431113171663
BaseRepresentation
bin10111001000100…
…00000000110000
3111112010212111110
423210100000300
5344134132034
631131113320
74544262456
oct1344200060
9445125443
10194052144
119a5a0280
1254ba2840
1331283c70
141bab49d6
1512081de9
hexb910030

194052144 has 160 divisors (see below), whose sum is σ = 623960064. Its totient is φ = 51056640.

The previous prime is 194052119. The next prime is 194052191. The reversal of 194052144 is 441250491.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115857 + ... + 117519.

Almost surely, 2194052144 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 194052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311980032).

194052144 is an abundant number, since it is smaller than the sum of its proper divisors (429907920).

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

194052144 is a wasteful number, since it uses less digits than its factorization.

194052144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 194052144 is about 13930.2600119309. The cubic root of 194052144 is about 578.9478984620.

The spelling of 194052144 in words is "one hundred ninety-four million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 17 22 24 26 33 34 39 44 48 51 52 66 68 78 88 102 104 132 136 143 156 176 187 204 208 221 264 272 286 312 374 408 429 442 528 561 572 624 663 748 816 858 884 1122 1144 1326 1496 1663 1716 1768 2244 2288 2431 2652 2992 3326 3432 3536 4488 4862 4989 5304 6652 6864 7293 8976 9724 9978 10608 13304 14586 18293 19448 19956 21619 26608 28271 29172 36586 38896 39912 43238 54879 56542 58344 64857 73172 79824 84813 86476 109758 113084 116688 129714 146344 169626 172952 219516 226168 237809 259428 292688 310981 339252 345904 367523 439032 452336 475618 518856 621962 678504 713427 735046 878064 932943 951236 1037712 1102569 1243924 1357008 1426854 1470092 1865886 1902472 2205138 2487848 2853708 2940184 3731772 3804944 4042753 4410276 4975696 5707416 5880368 7463544 8085506 8820552 11414832 12128259 14927088 16171012 17641104 24256518 32342024 48513036 64684048 97026072 194052144