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20024024040144 = 2432791760199019
BaseRepresentation
bin1001000110110001101001…
…10101110000001011010000
32121220021111122221012020100
410203120310311300023100
510111033200123241034
6110330524252412400
74134454661006145
oct443306465601320
977807448835210
1020024024040144
1164201605aaa73
1222b4959177100
13b233465793c7
144d324cb543cc
1524ad0e025099
hex123634d702d0

20024024040144 has 60 divisors (see below), whose sum is σ = 56748816404800. Its totient is φ = 6590185123392.

The previous prime is 20024024040107. The next prime is 20024024040157. The reversal of 20024024040144 is 44104042042002.

20024024040144 is a `hidden beast` number, since 2 + 0 + 0 + 240 + 2 + 404 + 0 + 14 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880088134 + ... + 880110885.

Almost surely, 220024024040144 is an apocalyptic number.

20024024040144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20024024040144 is an abundant number, since it is smaller than the sum of its proper divisors (36724792364656).

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

20024024040144 is a wasteful number, since it uses less digits than its factorization.

20024024040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760199112 (or 1760199103 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 20024024040144 its reverse (44104042042002), we get a palindrome (64128066082146).

The spelling of 20024024040144 in words is "twenty trillion, twenty-four billion, twenty-four million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376 1760199019 3520398038 5280597057 7040796076 10561194114 14081592152 15841791171 21122388228 28163184304 31683582342 42244776456 63367164684 84489552912 126734329368 139055722501 253468658736 278111445002 417167167503 556222890004 834334335006 1112445780008 1251501502509 1668668670012 2224891560016 2503003005018 3337337340024 5006006010036 6674674680048 10012012020072 20024024040144