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40456551444 = 22323385316963
BaseRepresentation
bin100101101011011001…
…011111110000010100
310212102111010202100020
4211223121133300110
51130323334121234
630330244145140
72631360004401
oct455331376024
9125374122306
1040456551444
1116180739991
127a109981b0
133a7983424a
141d5b0932a8
1510bbb1b549
hex96b65fc14

40456551444 has 48 divisors (see below), whose sum is σ = 94920501312. Its totient is φ = 13411107072.

The previous prime is 40456551407. The next prime is 40456551449. The reversal of 40456551444 is 44415565404.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40456551396 and 40456551405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40456551449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376507 + ... + 2393469.

It is an arithmetic number, because the mean of its divisors is an integer number (1977510444).

Almost surely, 240456551444 is an apocalyptic number.

It is an amenable number.

40456551444 is an abundant number, since it is smaller than the sum of its proper divisors (54463949868).

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

40456551444 is a wasteful number, since it uses less digits than its factorization.

40456551444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18056 (or 18054 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 40456551444 in words is "forty billion, four hundred fifty-six million, five hundred fifty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 233 466 699 853 932 1398 1706 2559 2796 3412 5118 10236 16963 33926 50889 67852 101778 198749 203556 397498 596247 794996 1192494 2384988 3952379 7904758 11857137 14469439 15809516 23714274 28938878 43408317 47428548 57877756 86816634 173633268 3371379287 6742758574 10114137861 13485517148 20228275722 40456551444