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5140410912 = 2532713196139
BaseRepresentation
bin1001100100110010…
…00111001000100000
3111021020120221010100
410302121013020200
541011421122122
62210024502400
7241245525510
oct46231071040
914236527110
105140410912
1121a869a88a
12bb561aa00
1363bc80c80
1436a9b1840
1520143eaac
hex132647220

5140410912 has 144 divisors (see below), whose sum is σ = 17991529920. Its totient is φ = 1355705856.

The previous prime is 5140410901. The next prime is 5140410929. The reversal of 5140410912 is 2190140415.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71862 + ... + 124277.

It is an arithmetic number, because the mean of its divisors is an integer number (124941180).

Almost surely, 25140410912 is an apocalyptic number.

5140410912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5140410912 is an abundant number, since it is smaller than the sum of its proper divisors (12851119008).

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

5140410912 is a wasteful number, since it uses less digits than its factorization.

5140410912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196175 (or 196164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5140410912 is about 71696.6590016578. The cubic root of 5140410912 is about 1725.8350265965.

The spelling of 5140410912 in words is "five billion, one hundred forty million, four hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 196139 392278 588417 784556 1176834 1372973 1569112 1765251 2353668 2549807 2745946 3138224 3530502 4118919 4707336 5099614 5491892 6276448 7061004 7649421 8237838 9414672 10199228 10983784 12356757 14122008 15298842 16475676 17848649 18829344 20398456 21967568 22948263 24713514 28244016 30597684 32951352 35697298 40796912 43935136 45896526 49427028 53545947 56488032 61195368 65902704 71394596 81593824 91793052 98854056 107091894 122390736 131805408 142789192 160637841 183586104 197708112 214183788 244781472 285578384 321275682 367172208 395416224 428367576 571156768 642551364 734344416 856735152 1285102728 1713470304 2570205456 5140410912