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4022420040468 = 2232967598119319
BaseRepresentation
bin111010100010001010111…
…010101110101100010100
3112020112120100221202121100
4322202022322232230110
51011400404012243333
612315512501150100
7563416214131434
oct72421272565424
915215510852540
104022420040468
111310998280935
1254b6a43bb330
1323240a98797b
14dc986bc02c4
156e97440a213
hex3a88aeaeb14

4022420040468 has 72 divisors (see below), whose sum is σ = 10180527477120. Its totient is φ = 1339126850880.

The previous prime is 4022420040437. The next prime is 4022420040511. The reversal of 4022420040468 is 8640400242204.

It is a happy number.

4022420040468 is a `hidden beast` number, since 4 + 0 + 2 + 242 + 0 + 0 + 404 + 6 + 8 = 666.

4022420040468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208200913 + ... + 208220231.

It is an arithmetic number, because the mean of its divisors is an integer number (141396214960).

Almost surely, 24022420040468 is an apocalyptic number.

It is an amenable number.

4022420040468 is an abundant number, since it is smaller than the sum of its proper divisors (6158107436652).

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

4022420040468 is a wasteful number, since it uses less digits than its factorization.

4022420040468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26277 (or 26272 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 4022420040468 in words is "four trillion, twenty-two billion, four hundred twenty million, forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 967 1934 2901 3868 5802 5981 8703 11604 11962 17406 17943 19319 23924 34812 35886 38638 53829 57957 71772 77276 107658 115914 173871 215316 231828 347742 695484 5783627 11567254 17350881 18681473 23134508 34701762 37362946 52052643 56044419 69403524 74725892 104105286 112088838 115546939 168133257 208210572 224177676 231093878 336266514 346640817 462187756 672533028 693281634 1039922451 1386563268 2079844902 4159689804 111733890013 223467780026 335201670039 446935560052 670403340078 1005605010117 1340806680156 2011210020234 4022420040468