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44943262240 = 2552353230431
BaseRepresentation
bin101001110110110100…
…111100001000100000
311022000011200021111011
4221312310330020200
51214020433342430
632351402030304
73150510266032
oct516664741040
9138004607434
1044943262240
1118073333138
1288634a8394
134313236cc6
142264cddc52
15128098222a
hexa76d3c220

44943262240 has 96 divisors (see below), whose sum is σ = 112885871616. Its totient is φ = 16871162880.

The previous prime is 44943262229. The next prime is 44943262291. The reversal of 44943262240 is 4226234944.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 44943262193 and 44943262202.

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, 79825 + ... + 310255.

It is an arithmetic number, because the mean of its divisors is an integer number (1175894496).

Almost surely, 244943262240 is an apocalyptic number.

44943262240 is a gapful number since it is divisible by the number (40) 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 44943262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56442935808).

44943262240 is an abundant number, since it is smaller than the sum of its proper divisors (67942609376).

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

44943262240 is a wasteful number, since it uses less digits than its factorization.

44943262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230522 (or 230514 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 44943262240 in words is "forty-four billion, nine hundred forty-three million, two hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 80 92 106 115 160 184 212 230 265 368 424 460 530 736 848 920 1060 1219 1696 1840 2120 2438 3680 4240 4876 6095 8480 9752 12190 19504 24380 39008 48760 97520 195040 230431 460862 921724 1152155 1843448 2304310 3686896 4608620 5299913 7373792 9217240 10599826 12212843 18434480 21199652 24425686 26499565 36868960 42399304 48851372 52999130 61064215 84798608 97702744 105998260 122128430 169597216 195405488 211996520 244256860 280895389 390810976 423993040 488513720 561790778 847986080 977027440 1123581556 1404476945 1954054880 2247163112 2808953890 4494326224 5617907780 8988652448 11235815560 22471631120 44943262240