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21020244148440 = 2332558389567079
BaseRepresentation
bin1001100011110001010000…
…01011111000000011011000
32202102111220221211020002100
410301320220023320003120
510223343430000222230
6112412322235003400
74266443150135565
oct461705013700330
982374827736070
1021020244148440
1167746a9909319
122435a45299560
13b9627b6cb324
1452955718186c
15266bb89e3660
hex131e282f80d8

21020244148440 has 48 divisors (see below), whose sum is σ = 68315793483600. Its totient is φ = 5605398439488.

The previous prime is 21020244148417. The next prime is 21020244148441. The reversal of 21020244148440 is 4484144202012.

21020244148440 is a `hidden beast` number, since 2 + 1 + 0 + 202 + 4 + 4 + 1 + 4 + 8 + 440 = 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 = 21020244148395 and 21020244148404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020244148441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29194783180 + ... + 29194783899.

It is an arithmetic number, because the mean of its divisors is an integer number (1423245697575).

Almost surely, 221020244148440 is an apocalyptic number.

21020244148440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020244148440 is an abundant number, since it is smaller than the sum of its proper divisors (47295549335160).

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

21020244148440 is a wasteful number, since it uses less digits than its factorization.

21020244148440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58389567096 (or 58389567089 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 21020244148440 in words is "twenty-one trillion, twenty billion, two hundred forty-four million, one hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 58389567079 116779134158 175168701237 233558268316 291947835395 350337402474 467116536632 525506103711 583895670790 700674804948 875843506185 1051012207422 1167791341580 1401349609896 1751687012370 2102024414844 2335582683160 2627530518555 3503374024740 4204048829688 5255061037110 7006748049480 10510122074220 21020244148440