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44234867808 = 25324310334679
BaseRepresentation
bin101001001100100110…
…101000010001100000
311020011210201010000100
4221030212220101200
51211043111232213
632153214422400
73124116113115
oct511446502140
9136153633010
1044234867808
111783a47a99a
1286a6201a00
13422c548ac1
1421d8bbc90c
15123d6a2773
hexa4c9a8460

44234867808 has 144 divisors (see below), whose sum is σ = 129971761920. Its totient is φ = 14261812992.

The previous prime is 44234867759. The next prime is 44234867819. The reversal of 44234867808 is 80876843244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258213 + ... + 1292891.

It is an arithmetic number, because the mean of its divisors is an integer number (902581680).

Almost surely, 244234867808 is an apocalyptic number.

44234867808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44234867808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64985880960).

44234867808 is an abundant number, since it is smaller than the sum of its proper divisors (85736894112).

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

44234867808 is a wasteful number, since it uses less digits than its factorization.

44234867808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34841 (or 34830 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 44234867808 in words is "forty-four billion, two hundred thirty-four million, eight hundred sixty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 103 129 144 172 206 258 288 309 344 387 412 516 618 688 774 824 927 1032 1236 1376 1548 1648 1854 2064 2472 3096 3296 3708 4128 4429 4944 6192 7416 8858 9888 12384 13287 14832 17716 26574 29664 34679 35432 39861 53148 69358 70864 79722 104037 106296 138716 141728 159444 208074 212592 277432 312111 318888 416148 425184 554864 624222 637776 832296 1109728 1248444 1275552 1491197 1664592 2496888 2982394 3329184 3571937 4473591 4993776 5964788 7143874 8947182 9987552 10715811 11929576 13420773 14287748 17894364 21431622 23859152 26841546 28575496 32147433 35788728 42863244 47718304 53683092 57150992 64294866 71577456 85726488 107366184 114301984 128589732 143154912 153593291 171452976 214732368 257179464 307186582 342905952 429464736 460779873 514358928 614373164 921559746 1028717856 1228746328 1382339619 1843119492 2457492656 2764679238 3686238984 4914985312 5529358476 7372477968 11058716952 14744955936 22117433904 44234867808