Search a number
-
+
51434034285120 = 263561878313427
BaseRepresentation
bin10111011000111011010110…
…10101111100101001000000
320202010001020021122212210020
423230131223111330221000
523220143400234110440
6301220245200533440
713555662213630204
oct1354355325745100
9222101207585706
1051434034285120
1115430062520543
125928316021280
132291293458ba6
14c9b5c5d78b04
155e2db5b923d0
hex2ec76b57ca40

51434034285120 has 112 divisors (see below), whose sum is σ = 165980158369728. Its totient is φ = 13490894223360.

The previous prime is 51434034285097. The next prime is 51434034285143. The reversal of 51434034285120 is 2158243043415.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51434034285097) and next prime (51434034285143).

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, 439098154 + ... + 439215273.

Almost surely, 251434034285120 is an apocalyptic number.

It is an amenable number.

51434034285120 is an abundant number, since it is smaller than the sum of its proper divisors (114546124084608).

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

51434034285120 is a wasteful number, since it uses less digits than its factorization.

51434034285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878313508 (or 878313498 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 51434034285120 in words is "fifty-one trillion, four hundred thirty-four billion, thirty-four million, two hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9760 11712 14640 19520 29280 58560 878313427 1756626854 2634940281 3513253708 4391567135 5269880562 7026507416 8783134270 10539761124 13174701405 14053014832 17566268540 21079522248 26349402810 28106029664 35132537080 42159044496 52698805620 53577119047 56212059328 70265074160 84318088992 105397611240 107154238094 140530148320 160731357141 168636177984 210795222480 214308476188 267885595235 281060296640 321462714282 421590444960 428616952376 535771190470 642925428564 803656785705 843180889920 857233904752 1071542380940 1285850857128 1607313571410 1714467809504 2143084761880 2571701714256 3214627142820 3428935619008 4286169523760 5143403428512 6429254285640 8572339047520 10286806857024 12858508571280 17144678095040 25717017142560 51434034285120