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44242379904 = 2734722710799
BaseRepresentation
bin101001001101000011…
…010010010010000000
311020012022211202200010
4221031003102102000
51211102022124104
632154043424520
73124240011222
oct511503222200
9136168752603
1044242379904
1117843740938
1286a8825140
134230c79128
1421d9bb6412
15123e188489
hexa4d0d2480

44242379904 has 128 divisors (see below), whose sum is σ = 120559104000. Its totient is φ = 14368769024.

The previous prime is 44242379879. The next prime is 44242379969. The reversal of 44242379904 is 40997324244.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4091497 + ... + 4102295.

It is an arithmetic number, because the mean of its divisors is an integer number (941868000).

Almost surely, 244242379904 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 44242379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60279552000).

44242379904 is an abundant number, since it is smaller than the sum of its proper divisors (76316724096).

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

44242379904 is a wasteful number, since it uses less digits than its factorization.

44242379904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11090 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 44242379904 in words is "forty-four billion, two hundred forty-two million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 227 282 376 384 454 564 681 752 908 1128 1362 1504 1816 2256 2724 3008 3632 4512 5448 6016 7264 9024 10669 10799 10896 14528 18048 21338 21598 21792 29056 32007 32397 42676 43196 43584 64014 64794 85352 86392 87168 128028 129588 170704 172784 256056 259176 341408 345568 507553 512112 518352 682816 691136 1015106 1024224 1036704 1365632 1382272 1522659 2030212 2048448 2073408 2451373 3045318 4060424 4096896 4146816 4902746 6090636 7354119 8120848 9805492 12181272 14708238 16241696 19610984 24362544 29416476 32483392 39221968 48725088 58832952 64966784 78443936 97450176 115214531 117665904 156887872 194900352 230429062 235331808 313775744 345643593 460858124 470663616 691287186 921716248 941327232 1382574372 1843432496 2765148744 3686864992 5530297488 7373729984 11060594976 14747459968 22121189952 44242379904