Search a number
-
+
44899023360 = 293526322229
BaseRepresentation
bin101001110100001100…
…001011101000000000
311021220002102201011010
4221310030023220000
51213423122221420
632343141520520
73146432254512
oct516414135000
9137802381133
1044899023360
1118050367884
128850713140
134307017c59
14225d0a5bb2
15127bb444e0
hexa7430ba00

44899023360 has 160 divisors (see below), whose sum is σ = 144088813440. Its totient is φ = 11927011328.

The previous prime is 44899023331. The next prime is 44899023413. The reversal of 44899023360 is 6332099844.

It is a tau number, because it is divible by the number of its divisors (160).

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

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, 2008726 + ... + 2030954.

It is an arithmetic number, because the mean of its divisors is an integer number (900555084).

Almost surely, 244899023360 is an apocalyptic number.

44899023360 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 44899023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72044406720).

44899023360 is an abundant number, since it is smaller than the sum of its proper divisors (99189790080).

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

44899023360 is a wasteful number, since it uses less digits than its factorization.

44899023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22518 (or 22502 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 44899023360 in words is "forty-four billion, eight hundred ninety-nine million, twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 263 320 384 480 512 526 640 768 789 960 1052 1280 1315 1536 1578 1920 2104 2560 2630 3156 3840 3945 4208 5260 6312 7680 7890 8416 10520 12624 15780 16832 21040 22229 25248 31560 33664 42080 44458 50496 63120 66687 67328 84160 88916 100992 111145 126240 133374 134656 168320 177832 201984 222290 252480 266748 333435 336640 355664 403968 444580 504960 533496 666870 673280 711328 889160 1009920 1066992 1333740 1422656 1778320 2019840 2133984 2667480 2845312 3556640 4267968 5334960 5690624 5846227 7113280 8535936 10669920 11381248 11692454 14226560 17071872 17538681 21339840 23384908 28453120 29231135 34143744 35077362 42679680 46769816 56906240 58462270 70154724 85359360 87693405 93539632 116924540 140309448 170718720 175386810 187079264 233849080 280618896 350773620 374158528 467698160 561237792 701547240 748317056 935396320 1122475584 1403094480 1496634112 1870792640 2244951168 2806188960 2993268224 3741585280 4489902336 5612377920 7483170560 8979804672 11224755840 14966341120 22449511680 44899023360