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44442332131020 = 22356141017296041
BaseRepresentation
bin10100001101011100010010…
…11010110110111011001100
312211100122102112120011001220
422012232021122312323030
521311120344011143040
6234304305303003340
712234565264115355
oct1206561132667314
9184318375504056
1044442332131020
111318498397368a
124b9927b139550
131ba4b80c98b65
14ad903dbbcd2c
155210a8bc42d0
hex286b896b6ecc

44442332131020 has 96 divisors (see below), whose sum is σ = 126482016674496. Its totient is φ = 11656681574400.

The previous prime is 44442332131003. The next prime is 44442332131027. The reversal of 44442332131020 is 2013123324444.

It is a super-3 number, since 3×444423321310203 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (44442332131027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149974200 + ... + 150270240.

It is an arithmetic number, because the mean of its divisors is an integer number (1317521007026).

Almost surely, 244442332131020 is an apocalyptic number.

It is an amenable number.

44442332131020 is an abundant number, since it is smaller than the sum of its proper divisors (82039684543476).

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

44442332131020 is a wasteful number, since it uses less digits than its factorization.

44442332131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337131 (or 337129 counting only the distinct ones).

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

Adding to 44442332131020 its reverse (2013123324444), we get a palindrome (46455455455464).

The spelling of 44442332131020 in words is "forty-four trillion, four hundred forty-two billion, three hundred thirty-two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 41017 82034 123051 164068 205085 246102 296041 410170 492204 592082 615255 820340 888123 1184164 1230510 1480205 1776246 2461020 2502037 2960410 3552492 4440615 5004074 5920820 7506111 8881230 10008148 12510185 15012222 17762460 18058501 25020370 30024444 36117002 37530555 50040740 54175503 72234004 75061110 90292505 108351006 150122220 180585010 216702012 270877515 361170020 541755030 1083510060 12142713697 24285427394 36428141091 48570854788 60713568485 72856282182 121427136970 145712564364 182140705455 242854273940 364281410910 728562821820 740705535517 1481411071034 2222116606551 2962822142068 3703527677585 4444233213102 7407055355170 8888466426204 11110583032755 14814110710340 22221166065510 44442332131020