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44314431032040 = 23351328406686559
BaseRepresentation
bin10100001001101110000011…
…11010111000101011101000
312210220102021220002010100220
422010313001322320223220
521302021423321011130
6234125434002330040
712222416624530101
oct1204670172705350
9183812256063326
1044314431032040
11131357100519a4
124b78525359920
131b95aa9bb8bc0
14ad2b893953a8
1551cac025c410
hex284dc1eb8ae8

44314431032040 has 64 divisors (see below), whose sum is σ = 143169700262400. Its totient is φ = 10908167638272.

The previous prime is 44314431032023. The next prime is 44314431032057. The reversal of 44314431032040 is 4023013441344.

It is an interprime number because it is at equal distance from previous prime (44314431032023) and next prime (44314431032057).

It is a junction number, because it is equal to n+sod(n) for n = 44314431031992 and 44314431032010.

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, 14203341720 + ... + 14203344839.

It is an arithmetic number, because the mean of its divisors is an integer number (2237026566600).

Almost surely, 244314431032040 is an apocalyptic number.

44314431032040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44314431032040 is an abundant number, since it is smaller than the sum of its proper divisors (98855269230360).

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

44314431032040 is a wasteful number, since it uses less digits than its factorization.

44314431032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28406686586 (or 28406686582 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 44314431032040 its reverse (4023013441344), we get a palindrome (48337444473384).

The spelling of 44314431032040 in words is "forty-four trillion, three hundred fourteen billion, four hundred thirty-one million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 28406686559 56813373118 85220059677 113626746236 142033432795 170440119354 227253492472 284066865590 340880238708 369286925267 426100298385 568133731180 681760477416 738573850534 852200596770 1107860775801 1136267462360 1477147701068 1704401193540 1846434626335 2215721551602 2954295402136 3408802387080 3692869252670 4431443103204 5539303879005 7385738505340 8862886206408 11078607758010 14771477010680 22157215516020 44314431032040