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320130461003232 = 25311424037149349
BaseRepresentation
bin100100011001010000010111…
…0011010001110110111100000
31112222111011200020210201200110
41020302200232122032313200
5313430004141004100412
63052505523054251320
7124300443153654045
oct11062405632166740
91488434606721613
10320130461003232
11930046254a81a0
122baa35177b6b40
1310982232c40449
14590a57b4831cc
1527024dbc6bd3c
hex123282e68ede0

320130461003232 has 96 divisors (see below), whose sum is σ = 916758977097600. Its totient is φ = 97006929246720.

The previous prime is 320130461003219. The next prime is 320130461003273. The reversal of 320130461003232 is 232300164031023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 320130461003232.

It is a congruent number.

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, 41202894 + ... + 48352242.

It is an arithmetic number, because the mean of its divisors is an integer number (9549572678100).

Almost surely, 2320130461003232 is an apocalyptic number.

320130461003232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320130461003232 is an abundant number, since it is smaller than the sum of its proper divisors (596628516094368).

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

320130461003232 is a wasteful number, since it uses less digits than its factorization.

320130461003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191776 (or 7191768 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 320130461003232 in words is "three hundred twenty trillion, one hundred thirty billion, four hundred sixty-one million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 42403 84806 127209 169612 254418 339224 466433 508836 678448 932866 1017672 1356896 1399299 1865732 2035344 2798598 3731464 4070688 5597196 7149349 7462928 11194392 14298698 14925856 21448047 22388784 28597396 42896094 44777568 57194792 78642839 85792188 114389584 157285678 171584376 228779168 235928517 314571356 343168752 471857034 629142712 686337504 943714068 1258285424 1887428136 2516570848 3774856272 7549712544 303153845647 606307691294 909461536941 1212615382588 1818923073882 2425230765176 3334692302117 3637846147764 4850461530352 6669384604234 7275692295528 9700923060704 10004076906351 13338769208468 14551384591056 20008153812702 26677538416936 29102769182112 40016307625404 53355076833872 80032615250808 106710153667744 160065230501616 320130461003232