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406442026044 = 223320771181183
BaseRepresentation
bin1011110101000011101…
…01010010010000111100
31102212002122101012102000
411322201311102100330
523124343124313134
6510414503102300
741236004135025
oct5724165222074
91385078335360
10406442026044
11147409a2296a
1266930741990
132c434171482
1415959995c4c
15a88c246e99
hex5ea1d5243c

406442026044 has 48 divisors (see below), whose sum is σ = 1053795133440. Its totient is φ = 135473405040.

The previous prime is 406442026031. The next prime is 406442026087. The reversal of 406442026044 is 440620244604.

406442026044 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 42 + 0 + 2 + 604 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2152677 + ... + 2333859.

It is an arithmetic number, because the mean of its divisors is an integer number (21954065280).

Almost surely, 2406442026044 is an apocalyptic number.

It is an amenable number.

406442026044 is an abundant number, since it is smaller than the sum of its proper divisors (647353107396).

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

406442026044 is a wasteful number, since it uses less digits than its factorization.

406442026044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201967 (or 201959 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 406442026044 in words is "four hundred six billion, four hundred forty-two million, twenty-six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 20771 41542 62313 83084 124626 181183 186939 249252 362366 373878 543549 560817 724732 747756 1087098 1121634 1630647 2174196 2243268 3261294 4891941 6522588 9783882 19567764 3763352093 7526704186 11290056279 15053408372 22580112558 33870168837 45160225116 67740337674 101610506511 135480675348 203221013022 406442026044