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20024042040 = 23325311794269
BaseRepresentation
bin10010101001100001…
…101010001000111000
31220200111202201201200
4102221201222020320
5312002123321130
613110544414200
71306133356212
oct225141521070
956614681650
1020024042040
118546060182
123a6a017360
131b71674ab2
14d7d5835b2
157c2e19760
hex4a986a238

20024042040 has 96 divisors (see below), whose sum is σ = 67177468800. Its totient is φ = 5167491840.

The previous prime is 20024041967. The next prime is 20024042041. The reversal of 20024042040 is 4024042002.

20024042040 is a `hidden beast` number, since 2 + 0 + 0 + 240 + 420 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20024042041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885975 + ... + 908294.

It is an arithmetic number, because the mean of its divisors is an integer number (699765300).

Almost surely, 220024042040 is an apocalyptic number.

20024042040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20024042040 is an abundant number, since it is smaller than the sum of its proper divisors (47153426760).

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

20024042040 is a wasteful number, since it uses less digits than its factorization.

20024042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794317 (or 1794310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20024042040 its reverse (4024042002), we get a palindrome (24048084042).

The spelling of 20024042040 in words is "twenty billion, twenty-four million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 1794269 3588538 5382807 7177076 8971345 10765614 14354152 16148421 17942690 21531228 26914035 32296842 35885380 43062456 53828070 55622339 64593684 71770760 80742105 107656140 111244678 129187368 161484210 166867017 215312280 222489356 278111695 322968420 333734034 444978712 500601051 556223390 645936840 667468068 834335085 1001202102 1112446780 1334936136 1668670170 2002404204 2224893560 2503005255 3337340340 4004808408 5006010510 6674680680 10012021020 20024042040