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400400804048 = 24710965350227
BaseRepresentation
bin1011101001110011011…
…11110110100011010000
31102021111121202022210012
411310321233312203100
523030010101212143
6503535214454052
740633206451640
oct5647157664320
91367447668705
10400400804048
111448998a7413
1265725504328
132b9b06a18bb
14155454d6520
15a636bba418
hex5d39bf68d0

400400804048 has 80 divisors (see below), whose sum is σ = 896123775360. Its totient is φ = 169762272768.

The previous prime is 400400804047. The next prime is 400400804057. The reversal of 400400804048 is 840408004004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400400804047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7946711 + ... + 7996937.

It is an arithmetic number, because the mean of its divisors is an integer number (11201547192).

Almost surely, 2400400804048 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 400400804048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448061887680).

400400804048 is an abundant number, since it is smaller than the sum of its proper divisors (495722971312).

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

400400804048 is a wasteful number, since it uses less digits than its factorization.

400400804048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51004 (or 50998 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 400400804048 in words is "four hundred billion, four hundred million, eight hundred four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 653 763 872 1306 1526 1744 2612 3052 4571 5224 6104 9142 10448 12208 18284 36568 50227 71177 73136 100454 142354 200908 284708 351589 401816 498239 569416 703178 803632 996478 1138832 1406356 1992956 2812712 3985912 5474743 5625424 7971824 10949486 21898972 32798231 38323201 43797944 65596462 76646402 87595888 131192924 153292804 229587617 262385848 306585608 459175234 524771696 613171216 918350468 1836700936 3575007179 3673401872 7150014358 14300028716 25025050253 28600057432 50050100506 57200114864 100100201012 200200402024 400400804048