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21040043400 = 23325211688913
BaseRepresentation
bin10011100110000101…
…011001010110001000
32000022022112221120200
4103212011121112020
5321042222342100
613355441052200
71343251263255
oct234605312610
960268487520
1021040043400
118a17613022
1240b2327060
131ca3cc532c
14103849842c
1583220be00
hex4e6159588

21040043400 has 72 divisors (see below), whose sum is σ = 70659485130. Its totient is φ = 5610677760.

The previous prime is 21040043371. The next prime is 21040043407. The reversal of 21040043400 is 434004012.

It can be written as a sum of positive squares in 3 ways, for example, as 17549360676 + 3490682724 = 132474^2 + 59082^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (21040043407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5842657 + ... + 5846256.

Almost surely, 221040043400 is an apocalyptic number.

21040043400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21040043400 is an abundant number, since it is smaller than the sum of its proper divisors (49619441730).

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

21040043400 is a wasteful number, since it uses less digits than its factorization.

21040043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11688935 (or 11688923 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21040043400 its reverse (434004012), we get a palindrome (21474047412).

The spelling of 21040043400 in words is "twenty-one billion, forty million, forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11688913 23377826 35066739 46755652 58444565 70133478 93511304 105200217 116889130 140266956 175333695 210400434 233778260 280533912 292222825 350667390 420800868 467556520 526001085 584445650 701334780 841601736 876668475 1052002170 1168891300 1402669560 1753336950 2104004340 2337782600 2630005425 3506673900 4208008680 5260010850 7013347800 10520021700 21040043400