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20134511144 = 23112371140111
BaseRepresentation
bin10010110000000111…
…000100001000101000
31220222012122010211222
4102300013010020220
5312213413324034
613125532241212
71311644343446
oct226007041050
956865563758
1020134511144
1185a2452260
123a9b010208
131b8b512827
14d900dbb96
157cc98b12e
hex4b01c4228

20134511144 has 64 divisors (see below), whose sum is σ = 43580436480. Its totient is φ = 8630776000.

The previous prime is 20134511143. The next prime is 20134511179. The reversal of 20134511144 is 44111543102.

It is not an unprimeable number, because it can be changed into a prime (20134511143) 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 15 ways as a sum of consecutive naturals, for example, 73649 + ... + 213759.

It is an arithmetic number, because the mean of its divisors is an integer number (680944320).

Almost surely, 220134511144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134511144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21790218240).

20134511144 is an abundant number, since it is smaller than the sum of its proper divisors (23445925336).

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

20134511144 is a wasteful number, since it uses less digits than its factorization.

20134511144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140222 (or 140218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 20134511144 in words is "twenty billion, one hundred thirty-four million, five hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 71 88 92 142 184 253 284 506 568 781 1012 1562 1633 2024 3124 3266 6248 6532 13064 17963 35926 71852 140111 143704 280222 560444 1120888 1541221 3082442 3222553 6164884 6445106 9947881 12329768 12890212 19895762 25780424 35448083 39791524 70896166 79583048 109426691 141792332 218853382 228801263 283584664 437706764 457602526 875413528 915205052 1830410104 2516813893 5033627786 10067255572 20134511144