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44056683504 = 24321941938431
BaseRepresentation
bin101001000001111110…
…111010001111110000
311012201101102102002200
4221001332322033300
51210212002333004
632123411343200
73116523426261
oct510176721760
9135641372080
1044056683504
1117758938439
1286565b1b00
13420165c4c2
1421bd278968
15122cc07239
hexa41fba3f0

44056683504 has 120 divisors (see below), whose sum is σ = 130100006400. Its totient is φ = 13879071360.

The previous prime is 44056683457. The next prime is 44056683511. The reversal of 44056683504 is 40538665044.

44056683504 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 66 + 83 + 504 = 666.

It is a super-2 number, since 2×440566835042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44056683504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127169 + ... + 1165599.

It is an arithmetic number, because the mean of its divisors is an integer number (1084166720).

Almost surely, 244056683504 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 44056683504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65050003200).

44056683504 is an abundant number, since it is smaller than the sum of its proper divisors (86043322896).

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

44056683504 is a wasteful number, since it uses less digits than its factorization.

44056683504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38883 (or 38874 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 44056683504 in words is "forty-four billion, fifty-six million, six hundred eighty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 419 456 684 838 912 1257 1368 1676 2514 2736 3352 3771 5028 6704 7542 7961 10056 15084 15922 20112 23883 30168 31844 38431 47766 60336 63688 71649 76862 95532 115293 127376 143298 153724 191064 230586 286596 307448 345879 382128 461172 573192 614896 691758 730189 922344 1146384 1383516 1460378 1844688 2190567 2767032 2920756 4381134 5534064 5841512 6571701 8762268 11683024 13143402 16102589 17524536 26286804 32205178 35049072 48307767 52573608 64410356 96615534 105147216 128820712 144923301 193231068 257641424 289846602 305949191 386462136 579693204 611898382 772924272 917847573 1159386408 1223796764 1835695146 2318772816 2447593528 2753542719 3671390292 4895187056 5507085438 7342780584 11014170876 14685561168 22028341752 44056683504