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4006132155444 = 22314331289918061
BaseRepresentation
bin111010010011000000000…
…101011000010000110100
3112011222112020102110210110
4322103000011120100310
51011114024312433234
612304220335223020
7562301455320246
oct72230005302064
915158466373713
104006132155444
111304a9a186831
125484b9677a70
13230a13386093
14dbc7d910096
156e31e4ea1e9
hex3a4c0158434

4006132155444 has 48 divisors (see below), whose sum is σ = 9355407969600. Its totient is φ = 1334268176640.

The previous prime is 4006132155391. The next prime is 4006132155479. The reversal of 4006132155444 is 4445512316004.

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, 221802174 + ... + 221820234.

It is an arithmetic number, because the mean of its divisors is an integer number (194904332700).

Almost surely, 24006132155444 is an apocalyptic number.

It is an amenable number.

4006132155444 is an abundant number, since it is smaller than the sum of its proper divisors (5349275814156).

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

4006132155444 is a wasteful number, since it uses less digits than its factorization.

4006132155444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32400 (or 32398 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 4006132155444 in words is "four trillion, six billion, one hundred thirty-two million, one hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 1433 2866 4299 5732 8598 12899 17196 18061 25798 36122 38697 51596 54183 72244 77394 108366 154788 216732 18484267 25881413 36968534 51762826 55452801 73937068 77644239 103525652 110905602 155288478 221811204 232968839 310576956 465937678 698906517 931875356 1397813034 2795626068 333844346287 667688692574 1001533038861 1335377385148 2003066077722 4006132155444