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44029649328 = 24372130114389
BaseRepresentation
bin101001000000010111…
…110010000110110000
311012122111112221011220
4221000113302012300
51210133042234303
632121004105040
73116044562400
oct510027620660
9135574487156
1044029649328
1117744653245
128649535180
1341c8b85452
1421b983c800
15122a667053
hexa405f21b0

44029649328 has 120 divisors (see below), whose sum is σ = 132424493040. Its totient is φ = 12569356800.

The previous prime is 44029649263. The next prime is 44029649387. The reversal of 44029649328 is 82394692044.

It is a super-2 number, since 2×440296493282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3052758 + ... + 3067146.

It is an arithmetic number, because the mean of its divisors is an integer number (1103537442).

Almost surely, 244029649328 is an apocalyptic number.

44029649328 is a gapful number since it is divisible by the number (48) 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 44029649328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66212246520).

44029649328 is an abundant number, since it is smaller than the sum of its proper divisors (88394843712).

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

44029649328 is a wasteful number, since it uses less digits than its factorization.

44029649328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15715 (or 15702 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 44029649328 in words is "forty-four billion, twenty-nine million, six hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1301 2352 2602 3903 5204 7806 9107 10408 14389 15612 18214 20816 27321 28778 31224 36428 43167 54642 57556 62448 63749 72856 86334 100723 109284 115112 127498 145712 172668 191247 201446 218568 230224 254996 302169 345336 382494 402892 437136 509992 604338 690672 705061 764988 805784 1019984 1208676 1410122 1529976 1611568 2115183 2417352 2820244 3059952 4230366 4834704 5640488 8460732 11280976 16921464 18720089 33842928 37440178 56160267 74880356 112320534 131040623 149760712 224641068 262081246 299521424 393121869 449282136 524162492 786243738 898564272 917284361 1048324984 1572487476 1834568722 2096649968 2751853083 3144974952 3669137444 5503706166 6289949904 7338274888 11007412332 14676549776 22014824664 44029649328