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21134433144 = 23311181442291
BaseRepresentation
bin10011101011101101…
…011101101101111000
32000112220011102222010
4103223231131231320
5321240403330034
613413052125520
71345505501106
oct235355355570
960486142863
1021134433144
118a65922480
124119a668a0
131cba723356
141046c28c76
1583a6543e9
hex4ebb5db78

21134433144 has 64 divisors (see below), whose sum is σ = 57957943680. Its totient is φ = 6368976000.

The previous prime is 21134433119. The next prime is 21134433157. The reversal of 21134433144 is 44133443112.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173362 + ... + 268929.

It is an arithmetic number, because the mean of its divisors is an integer number (905592870).

Almost surely, 221134433144 is an apocalyptic number.

21134433144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21134433144 is an abundant number, since it is smaller than the sum of its proper divisors (36823510536).

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

21134433144 is a wasteful number, since it uses less digits than its factorization.

21134433144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442492 (or 442488 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 21134433144 its reverse (44133443112), we get a palindrome (65267876256).

The spelling of 21134433144 in words is "twenty-one billion, one hundred thirty-four million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 181 264 362 543 724 1086 1448 1991 2172 3982 4344 5973 7964 11946 15928 23892 47784 442291 884582 1326873 1769164 2653746 3538328 4865201 5307492 9730402 10614984 14595603 19460804 29191206 38921608 58382412 80054671 116764824 160109342 240164013 320218684 480328026 640437368 880601381 960656052 1761202762 1921312104 2641804143 3522405524 5283608286 7044811048 10567216572 21134433144