Search a number
-
+
444641374472712 = 233241126832864051
BaseRepresentation
bin110010100011001100010001…
…1001011011000101000001000
32011022100022002220002212110220
41211012120203023120220020
5431240001013331111322
64213401232202110040
7162441164523044214
oct14506304313305010
92138308086085426
10444641374472712
1111974939112762a
1241a525887ab320
131611466a302251
147bb2a8625d944
15366122115b55c
hex19466232d8a08

444641374472712 has 64 divisors (see below), whose sum is σ = 1112479365000960. Its totient is φ = 148097046888000.

The previous prime is 444641374472699. The next prime is 444641374472731. The reversal of 444641374472712 is 217274473146444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153817087 + ... + 156681137.

It is an arithmetic number, because the mean of its divisors is an integer number (17382490078140).

Almost surely, 2444641374472712 is an apocalyptic number.

It is an amenable number.

444641374472712 is an abundant number, since it is smaller than the sum of its proper divisors (667837990528248).

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

444641374472712 is a wasteful number, since it uses less digits than its factorization.

444641374472712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869154 (or 2869150 counting only the distinct ones).

The product of its digits is 101154816, while the sum is 60.

The spelling of 444641374472712 in words is "four hundred forty-four trillion, six hundred forty-one billion, three hundred seventy-four million, four hundred seventy-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 2411 2683 4822 5366 7233 8049 9644 10732 14466 16098 19288 21464 28932 32196 57864 64392 2864051 5728102 6468713 8592153 11456204 12937426 17184306 19406139 22912408 25874852 34368612 38812278 51749704 68737224 77624556 155249112 6905226961 7684248833 13810453922 15368497666 20715680883 23052746499 27620907844 30736995332 41431361766 46105492998 55241815688 61473990664 82862723532 92210985996 165725447064 184421971992 18526723936363 37053447872726 55580171809089 74106895745452 111160343618178 148213791490904 222320687236356 444641374472712