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44142021024 = 2531729932683
BaseRepresentation
bin101001000111000100…
…011100100110100000
311012221100000000011120
4221013010130212200
51210400324133044
632140100412240
73121610662563
oct510704344640
9135840000146
1044142021024
11177a2024812
12867b0a7080
13421623b18a
1421ca7304da
151235462519
hexa4711c9a0

44142021024 has 96 divisors (see below), whose sum is σ = 126919638720. Its totient is φ = 13370929152.

The previous prime is 44142021017. The next prime is 44142021037. The reversal of 44142021024 is 42012024144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 44142020985 and 44142021003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419014 + ... + 513669.

It is an arithmetic number, because the mean of its divisors is an integer number (1322079570).

Almost surely, 244142021024 is an apocalyptic number.

It is an amenable number.

44142021024 is an abundant number, since it is smaller than the sum of its proper divisors (82777617696).

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

44142021024 is a wasteful number, since it uses less digits than its factorization.

44142021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932742 (or 932734 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 44142021024 its reverse (42012024144), we get a palindrome (86154045168).

The spelling of 44142021024 in words is "forty-four billion, one hundred forty-two million, twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 928 986 1392 1479 1632 1972 2784 2958 3944 5916 7888 11832 15776 23664 47328 932683 1865366 2798049 3730732 5596098 7461464 11192196 14922928 15855611 22384392 27047807 29845856 31711222 44768784 47566833 54095614 63422444 81143421 89537568 95133666 108191228 126844888 162286842 190267332 216382456 253689776 324573684 380534664 432764912 459812719 507379552 649147368 761069328 865529824 919625438 1298294736 1379438157 1522138656 1839250876 2596589472 2758876314 3678501752 5517752628 7357003504 11035505256 14714007008 22071010512 44142021024