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44399820420 = 223252413592851
BaseRepresentation
bin101001010110011011…
…110111111010000100
311020121022002120110100
4221112123313322010
51211412323223140
632221430124100
73131161150404
oct512633677204
9136538076410
1044399820420
11179145a526a
1287314b0630
1342577818b7
142212a7a804
15124cdd7530
hexa566f7e84

44399820420 has 144 divisors (see below), whose sum is σ = 135662567040. Its totient is φ = 11753856000.

The previous prime is 44399820343. The next prime is 44399820469. The reversal of 44399820420 is 2402899344.

It is a happy number.

44399820420 is a `hidden beast` number, since 4 + 439 + 9 + 8 + 204 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15571995 + ... + 15574845.

It is an arithmetic number, because the mean of its divisors is an integer number (942101160).

Almost surely, 244399820420 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 44399820420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67831283520).

44399820420 is an abundant number, since it is smaller than the sum of its proper divisors (91262746620).

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

44399820420 is a wasteful number, since it uses less digits than its factorization.

44399820420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 44399820420 in words is "forty-four billion, three hundred ninety-nine million, eight hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 359 482 718 723 964 1077 1205 1436 1446 1795 2154 2169 2410 2851 2892 3231 3590 3615 4308 4338 4820 5385 5702 6462 7180 7230 8553 8676 10770 10845 11404 12924 14255 14460 16155 17106 21540 21690 25659 28510 32310 34212 42765 43380 51318 57020 64620 85530 86519 102636 128295 171060 173038 256590 259557 346076 432595 513180 519114 687091 778671 865190 1023509 1038228 1297785 1374182 1557342 1730380 2047018 2061273 2595570 2748364 3070527 3114684 3435455 3893355 4094036 4122546 5117545 5191140 6141054 6183819 6870910 7786710 8245092 9211581 10235090 10306365 12282108 12367638 13741820 15352635 15573420 18423162 20470180 20612730 24735276 30705270 30919095 36846324 41225460 46057905 61410540 61838190 92115810 123676380 184231620 246665669 493331338 739997007 986662676 1233328345 1479994014 2219991021 2466656690 2959988028 3699985035 4439982042 4933313380 7399970070 8879964084 11099955105 14799940140 22199910210 44399820420