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21465544140 = 223251011180723
BaseRepresentation
bin10011111111011100…
…100011010111001100
32001101222012121212100
4103333130203113030
5322430134403030
613510001035100
71356636054225
oct237734432714
961358177770
1021465544140
119115816027
1241b0925a90
1320411c4a11
141078bba24c
1585975b360
hex4ff7235cc

21465544140 has 72 divisors (see below), whose sum is σ = 65756881008. Its totient is φ = 5667465600.

The previous prime is 21465544129. The next prime is 21465544147. The reversal of 21465544140 is 4144556412.

21465544140 is a `hidden beast` number, since 2 + 1 + 465 + 54 + 4 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21465544095 and 21465544104.

It is not an unprimeable number, because it can be changed into a prime (21465544147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572182 + ... + 608541.

It is an arithmetic number, because the mean of its divisors is an integer number (913290014).

Almost surely, 221465544140 is an apocalyptic number.

21465544140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21465544140 is an abundant number, since it is smaller than the sum of its proper divisors (44291336868).

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

21465544140 is a wasteful number, since it uses less digits than its factorization.

21465544140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180839 (or 1180834 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 21465544140 in words is "twenty-one billion, four hundred sixty-five million, five hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 1180723 2361446 3542169 4722892 5903615 7084338 10626507 11807230 14168676 17710845 21253014 23614460 35421690 42506028 53132535 70843380 106265070 119253023 212530140 238506046 357759069 477012092 596265115 715518138 1073277207 1192530230 1431036276 1788795345 2146554414 2385060460 3577590690 4293108828 5366386035 7155181380 10732772070 21465544140