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404424442222056 = 233271271129182133
BaseRepresentation
bin101101111110100100110011…
…1001101111001010111101000
31222000221121011201212201101100
41123331021213031321113220
5411002042224202101211
63552050005054521400
7151120462456203204
oct13375114715712750
91860847151781340
10404424442222056
11107953496346883
12394381bb506260
13144880a47864b9
1471c2366dbbb04
1531b501b727156
hex16fd2673795e8

404424442222056 has 96 divisors (see below), whose sum is σ = 1111152941608320. Its totient is φ = 132860410569600.

The previous prime is 404424442222027. The next prime is 404424442222063. The reversal of 404424442222056 is 650222244424404.

404424442222056 is a `hidden beast` number, since 40 + 442 + 44 + 42 + 22 + 20 + 56 = 666.

It is a super-2 number, since 2×4044244422220562 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732435 + ... + 28449698.

It is an arithmetic number, because the mean of its divisors is an integer number (11574509808420).

Almost surely, 2404424442222056 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 404424442222056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555576470804160).

404424442222056 is an abundant number, since it is smaller than the sum of its proper divisors (706728499386264).

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

404424442222056 is a wasteful number, since it uses less digits than its factorization.

404424442222056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29184927 (or 29184920 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 45.

The spelling of 404424442222056 in words is "four hundred four trillion, four hundred twenty-four billion, four hundred forty-two million, two hundred twenty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 2711 5112 5422 8133 10844 16266 21688 24399 32532 48798 65064 97596 192481 195192 384962 577443 769924 1154886 1539848 1732329 2309772 3464658 4619544 6929316 13858632 29182133 58364266 87546399 116728532 175092798 233457064 262639197 350185596 525278394 700371192 1050556788 2071931443 2101113576 4143862886 6215794329 8287725772 12431588658 16575451544 18647382987 24863177316 37294765974 49726354632 74589531948 79112762563 149179063896 158225525126 237338287689 316451050252 474676575378 632902100504 712014863067 949353150756 1424029726134 1898706301512 2848059452268 5617006141973 5696118904536 11234012283946 16851018425919 22468024567892 33702036851838 44936049135784 50553055277757 67404073703676 101106110555514 134808147407352 202212221111028 404424442222056