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44142559848 = 23331013316113
BaseRepresentation
bin101001000111000110…
…100000001001101000
311012221101000101022000
4221013012200021220
51210400443403343
632140120131000
73121615365522
oct510706401150
9135841011260
1044142559848
11177a2362622
12867b306a60
1342163994ca
1421ca830a12
15123551bed3
hexa471a0268

44142559848 has 128 divisors (see below), whose sum is σ = 124226697600. Its totient is φ = 14522112000.

The previous prime is 44142559829. The next prime is 44142559921. The reversal of 44142559848 is 84895524144.

44142559848 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 2 + 5 + 598 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 44142559794 and 44142559803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7218040 + ... + 7224152.

It is an arithmetic number, because the mean of its divisors is an integer number (970521075).

Almost surely, 244142559848 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 44142559848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62113348800).

44142559848 is an abundant number, since it is smaller than the sum of its proper divisors (80084137752).

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

44142559848 is a wasteful number, since it uses less digits than its factorization.

44142559848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6560 (or 6550 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 44142559848 in words is "forty-four billion, one hundred forty-two million, five hundred fifty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 331 404 606 662 808 909 993 1212 1324 1818 1986 2424 2648 2727 2979 3636 3972 5454 5958 6113 7272 7944 8937 10908 11916 12226 17874 18339 21816 23832 24452 33431 35748 36678 48904 55017 66862 71496 73356 100293 110034 133724 146712 165051 200586 220068 267448 300879 330102 401172 440136 601758 617413 660204 802344 902637 1203516 1234826 1320408 1805274 1852239 2023403 2407032 2469652 3610548 3704478 4046806 4939304 5556717 6070209 7221096 7408956 8093612 11113434 12140418 14817912 16187224 16670151 18210627 22226868 24280836 33340302 36421254 44453736 48561672 54631881 66680604 72842508 109263762 133361208 145685016 204363703 218527524 408727406 437055048 613091109 817454812 1226182218 1634909624 1839273327 2452364436 3678546654 4904728872 5517819981 7357093308 11035639962 14714186616 22071279924 44142559848