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20331440013000 = 2335316014233071
BaseRepresentation
bin1001001111101110010000…
…10000100111111011001000
32122222200000000022200020210
410213313020100213323020
510131102242120404000
6111124045023521120
74165620015446604
oct447671020477310
978880000280223
1020331440013000
116529573936456
1223444521591a0
13b4632892591c
14504092b74504
15253d027b9350
hex127dc8427ec8

20331440013000 has 128 divisors (see below), whose sum is σ = 63473729379840. Its totient is φ = 5418329600000.

The previous prime is 20331440012981. The next prime is 20331440013023. The reversal of 20331440013000 is 31004413302.

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, 2686465 + ... + 6919535.

It is an arithmetic number, because the mean of its divisors is an integer number (495888510780).

Almost surely, 220331440013000 is an apocalyptic number.

20331440013000 is a gapful number since it is divisible by the number (20) 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 20331440013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31736864689920).

20331440013000 is an abundant number, since it is smaller than the sum of its proper divisors (43142289366840).

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

20331440013000 is a wasteful number, since it uses less digits than its factorization.

20331440013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234696 (or 4234682 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20331440013000 its reverse (31004413302), we get a palindrome (20362444426302).

The spelling of 20331440013000 in words is "twenty trillion, three hundred thirty-one billion, four hundred forty million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1601 3000 3202 4803 6404 8005 9606 12808 16010 19212 24015 32020 38424 40025 48030 64040 80050 96060 120075 160100 192120 200125 240150 320200 400250 480300 600375 800500 960600 1200750 1601000 2401500 4233071 4803000 8466142 12699213 16932284 21165355 25398426 33864568 42330710 50796852 63496065 84661420 101593704 105826775 126992130 169322840 211653550 253984260 317480325 423307100 507968520 529133875 634960650 846614200 1058267750 1269921300 1587401625 2116535500 2539842600 3174803250 4233071000 6349606500 6777146671 12699213000 13554293342 20331440013 27108586684 33885733355 40662880026 54217173368 67771466710 81325760052 101657200065 135542933420 162651520104 169428666775 203314400130 271085866840 338857333550 406628800260 508286000325 677714667100 813257600520 847143333875 1016572000650 1355429334200 1694286667750 2033144001300 2541430001625 3388573335500 4066288002600 5082860003250 6777146671000 10165720006500 20331440013000