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44464133146444 = 221127910111513729
BaseRepresentation
bin10100001110000100111001…
…10111001000011101001100
312211102201200220000111000121
422013002130313020131030
521312000021041141234
6234322312450234324
712236266445516164
oct1207023467103514
9184381626014017
1044464133146444
1113193150a90200
124ba15442859a4
131ba6c4682aa9b
14ada10b3635a4
15521932ae94b4
hex28709cdc874c

44464133146444 has 72 divisors (see below), whose sum is σ = 87469346260800. Its totient is φ = 19757557248000.

The previous prime is 44464133146441. The next prime is 44464133146481.

44464133146444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44464133146391 and 44464133146400.

It is not an unprimeable number, because it can be changed into a prime (44464133146441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1895029 + ... + 9618700.

It is an arithmetic number, because the mean of its divisors is an integer number (1214852031400).

Almost surely, 244464133146444 is an apocalyptic number.

44464133146444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44464133146444 is a deficient number, since it is larger than the sum of its proper divisors (43005213114356).

44464133146444 is a wasteful number, since it uses less digits than its factorization.

44464133146444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513935 (or 11513922 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 52.

The spelling of 44464133146444 in words is "forty-four trillion, four hundred sixty-four billion, one hundred thirty-three million, one hundred forty-six thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 79 101 121 158 202 242 316 404 484 869 1111 1738 2222 3476 4444 7979 9559 12221 15958 19118 24442 31916 38236 48884 87769 175538 351076 965459 1930918 3861836 11513729 23027458 46054916 126651019 253302038 506604076 909584591 1162886629 1393161209 1819169182 2325773258 2786322418 3638338364 4651546516 5572644836 10005430501 12791752919 20010861002 25583505838 40021722004 51167011676 91868043691 110059735511 140709282109 183736087382 220119471022 281418564218 367472174764 440238942044 562837128436 1010548480601 2021096961202 4042193922404 11116033286611 22232066573222 44464133146444