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404002014144 = 2632972557833
BaseRepresentation
bin1011110000100000110…
…01011000001111000000
31102121210121001202022220
411320100121120033000
523104344003423034
6505332421131040
741121355313511
oct5702031301700
91377717052286
10404002014144
11146377671903
126636b559a80
132c1357b6751
14157a78bca08
15a797e1a749
hex5e106583c0

404002014144 has 56 divisors (see below), whose sum is σ = 1105781390160. Its totient is φ = 130023634944.

The previous prime is 404002014139. The next prime is 404002014151. The reversal of 404002014144 is 441410200404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36273349 + ... + 36284484.

Almost surely, 2404002014144 is an apocalyptic number.

It is an amenable number.

404002014144 is an abundant number, since it is smaller than the sum of its proper divisors (701779376016).

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

404002014144 is a wasteful number, since it uses less digits than its factorization.

404002014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72557877 (or 72557867 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 404002014144 its reverse (441410200404), we get a palindrome (845412214548).

The spelling of 404002014144 in words is "four hundred four billion, two million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 72557833 145115666 217673499 290231332 435346998 580462664 870693996 1160925328 1741387992 2104177157 2321850656 3482775984 4208354314 4643701312 6312531471 6965551968 8416708628 12625062942 13931103936 16833417256 25250125884 33666834512 50500251768 67333669024 101000503536 134667338048 202001007072 404002014144