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44300063376 = 24332343103687
BaseRepresentation
bin101001010000011111…
…010101001010010000
311020100100101101112000
4221100133111022100
51211211304012001
632203504034000
73125540216502
oct512037251220
9136310341460
1044300063376
111787325a328
128704002900
13423cbc486a
14220370dd72
15124427ea86
hexa507d5290

44300063376 has 160 divisors (see below), whose sum is σ = 135773214720. Its totient is φ = 13796044416.

The previous prime is 44300063363. The next prime is 44300063387. The reversal of 44300063376 is 67336000344.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44300063376.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375405 + ... + 479091.

It is an arithmetic number, because the mean of its divisors is an integer number (848582592).

Almost surely, 244300063376 is an apocalyptic number.

44300063376 is a gapful number since it is divisible by the number (46) 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 44300063376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67886607360).

44300063376 is an abundant number, since it is smaller than the sum of its proper divisors (91473151344).

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

44300063376 is a wasteful number, since it uses less digits than its factorization.

44300063376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103770 (or 103758 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 44300063376 in words is "forty-four billion, three hundred million, sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 43 46 48 54 69 72 86 92 108 129 138 144 172 184 207 216 258 276 344 368 387 414 432 516 552 621 688 774 828 989 1032 1104 1161 1242 1548 1656 1978 2064 2322 2484 2967 3096 3312 3956 4644 4968 5934 6192 7912 8901 9288 9936 11868 15824 17802 18576 23736 26703 35604 47472 53406 71208 103687 106812 142416 207374 213624 311061 414748 427248 622122 829496 933183 1244244 1658992 1866366 2384801 2488488 2799549 3732732 4458541 4769602 4976976 5599098 7154403 7465464 8917082 9539204 11198196 13375623 14308806 14930928 17834164 19078408 21463209 22396392 26751246 28617612 35668328 38156816 40126869 42926418 44792784 53502492 57235224 64389627 71336656 80253738 85852836 102546443 107004984 114470448 120380607 128779254 160507476 171705672 205092886 214009968 240761214 257558508 307639329 321014952 343411344 410185772 481522428 515117016 615278658 642029904 820371544 922917987 963044856 1030234032 1230557316 1640743088 1845835974 1926089712 2461114632 2768753961 3691671948 4922229264 5537507922 7383343896 11075015844 14766687792 22150031688 44300063376