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404440400704 = 26231511181837
BaseRepresentation
bin1011110001010101000…
…01101100001101000000
31102122221010222002122011
411320222201230031000
523111243220310304
6505444121222304
741135260453444
oct5705241541500
91378833862564
10404440400704
1114658207614a
1266472331994
132c1a5578392
1415809bd6824
15a7c1662c04
hex5e2a86c340

404440400704 has 56 divisors (see below), whose sum is σ = 838014242688. Its totient is φ = 193298941440.

The previous prime is 404440400669. The next prime is 404440400711. The reversal of 404440400704 is 407004044404.

It is a super-2 number, since 2×4044404007042 (a number of 24 digits) contains 22 as substring.

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, 2133274 + ... + 2315110.

It is an arithmetic number, because the mean of its divisors is an integer number (14964540048).

Almost surely, 2404440400704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404440400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419007121344).

404440400704 is an abundant number, since it is smaller than the sum of its proper divisors (433573841984).

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

404440400704 is a wasteful number, since it uses less digits than its factorization.

404440400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183383 (or 183373 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 31.

The spelling of 404440400704 in words is "four hundred four billion, four hundred forty million, four hundred thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 1511 3022 6044 12088 24176 34753 48352 69506 96704 139012 181837 278024 363674 556048 727348 1112096 1454696 2224192 2909392 4182251 5818784 8364502 11637568 16729004 33458008 66916016 133832032 267664064 274755707 549511414 1099022828 2198045656 4396091312 6319381261 8792182624 12638762522 17584365248 25277525044 50555050088 101110100176 202220200352 404440400704