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44343542464 = 2613193178849
BaseRepresentation
bin101001010011000101…
…001100001011000000
311020110101012100121121
4221103011030023000
51211303421324324
632212100002024
73126605614624
oct512305141300
9136411170547
1044343542464
1117895856861
128716690314
134248c08b30
1422093cb184
151247ebc5e4
hexa5314c2c0

44343542464 has 112 divisors (see below), whose sum is σ = 100076508000. Its totient is φ = 19325730816.

The previous prime is 44343542413. The next prime is 44343542471. The reversal of 44343542464 is 46424534344.

It is a self number, because there is not a number n which added to its sum of digits gives 44343542464.

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 15 ways as a sum of consecutive naturals, for example, 5006712 + ... + 5015560.

It is an arithmetic number, because the mean of its divisors is an integer number (893540250).

Almost surely, 244343542464 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 44343542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50038254000).

44343542464 is an abundant number, since it is smaller than the sum of its proper divisors (55732965536).

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

44343542464 is a wasteful number, since it uses less digits than its factorization.

44343542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210 (or 9200 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 43.

The spelling of 44343542464 in words is "forty-four billion, three hundred forty-three million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 317 416 494 608 634 832 988 1216 1268 1976 2536 3952 4121 5072 6023 7904 8242 8849 10144 12046 15808 16484 17698 20288 24092 32968 35396 48184 65936 70792 78299 96368 115037 131872 141584 156598 168131 192736 230074 263744 283168 313196 336262 385472 460148 566336 626392 672524 920296 1252784 1345048 1840592 2185703 2505568 2690096 2805133 3681184 4371406 5011136 5380192 5610266 7362368 8742812 10760384 11220532 17485624 22441064 34971248 36466729 44882128 53297527 69942496 72933458 89764256 106595054 139884992 145866916 179528512 213190108 291733832 426380216 583467664 692867851 852760432 1166935328 1385735702 1705520864 2333870656 2771471404 3411041728 5542942808 11085885616 22171771232 44343542464