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20004012144 = 2432173802987
BaseRepresentation
bin10010101000010101…
…010000000001110000
31220122010002002212200
4102220111100001300
5311432011342034
613104551223200
71305501204054
oct225025200160
956563062780
1020004012144
11853581a446
123a63377b00
131b6a480b9c
14d7aa4bc64
157c12aea99
hex4a8550070

20004012144 has 60 divisors (see below), whose sum is σ = 56307124536. Its totient is φ = 6629452416.

The previous prime is 20004012143. The next prime is 20004012151. The reversal of 20004012144 is 44121040002.

20004012144 is a `hidden beast` number, since 200 + 0 + 401 + 21 + 44 = 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 (20004012143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376582 + ... + 426405.

Almost surely, 220004012144 is an apocalyptic number.

20004012144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20004012144 is an abundant number, since it is smaller than the sum of its proper divisors (36303112392).

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

20004012144 is a wasteful number, since it uses less digits than its factorization.

20004012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803174 (or 803165 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20004012144 its reverse (44121040002), we get a palindrome (64125052146).

The spelling of 20004012144 in words is "twenty billion, four million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 802987 1605974 2408961 3211948 4817922 6423896 7226883 9635844 12847792 14453766 19271688 28907532 38543376 57815064 115630128 138916751 277833502 416750253 555667004 833500506 1111334008 1250250759 1667001012 2222668016 2500501518 3334002024 5001003036 6668004048 10002006072 20004012144