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44304163920 = 24335199710271
BaseRepresentation
bin101001010000101110…
…111110010001010000
311020100122002201102000
4221100232332101100
51211213331221140
632204131554000
73125620115442
oct512056762120
9136318081360
1044304163920
1117875600105
12870545b900
1342409cc113
14220409a492
1512447dea30
hexa50bbe450

44304163920 has 160 divisors (see below), whose sum is σ = 152694512640. Its totient is φ = 11807377920.

The previous prime is 44304163903. The next prime is 44304163921. The reversal of 44304163920 is 2936140344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44304163921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4308385 + ... + 4318655.

It is an arithmetic number, because the mean of its divisors is an integer number (954340704).

Almost surely, 244304163920 is an apocalyptic number.

44304163920 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 44304163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76347256320).

44304163920 is an abundant number, since it is smaller than the sum of its proper divisors (108390348720).

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

44304163920 is a wasteful number, since it uses less digits than its factorization.

44304163920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12290 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 44304163920 in words is "forty-four billion, three hundred four million, one hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1997 2160 3994 5991 7988 9985 10271 11982 15976 17973 19970 20542 23964 29955 30813 31952 35946 39940 41084 47928 51355 53919 59910 61626 71892 79880 82168 89865 92439 95856 102710 107838 119820 123252 143784 154065 159760 164336 179730 184878 205420 215676 239640 246504 269595 277317 287568 308130 359460 369756 410840 431352 462195 479280 493008 539190 554634 616260 718920 739512 821680 862704 924390 1078380 1109268 1232520 1386585 1437840 1479024 1848780 2156760 2218536 2465040 2773170 3697560 4313520 4437072 5546340 7395120 11092680 20511187 22185360 41022374 61533561 82044748 102555935 123067122 164089496 184600683 205111870 246134244 307667805 328178992 369201366 410223740 492268488 553802049 615335610 738402732 820447480 923003415 984536976 1107604098 1230671220 1476805464 1640894960 1846006830 2215208196 2461342440 2769010245 2953610928 3692013660 4430416392 4922684880 5538020490 7384027320 8860832784 11076040980 14768054640 22152081960 44304163920