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19942462440 = 2334531211941
BaseRepresentation
bin10010100100101010…
…011101001111101000
31220110211021001120000
4102210222131033220
5311320232244230
613054512103000
71304123063625
oct224452351750
956424231500
1019942462440
11850400021a
123a46834a60
131b5a7b0744
14d727c934c
157baba2b60
hex4a4a9d3e8

19942462440 has 320 divisors, whose sum is σ = 69592849920. Its totient is φ = 5116608000.

The previous prime is 19942462429. The next prime is 19942462447. The reversal of 19942462440 is 4426424991.

19942462440 is a `hidden beast` number, since 19 + 9 + 4 + 2 + 4 + 624 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19942462447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21192370 + ... + 21193310.

It is an arithmetic number, because the mean of its divisors is an integer number (217477656).

Almost surely, 219942462440 is an apocalyptic number.

19942462440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19942462440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34796424960).

19942462440 is an abundant number, since it is smaller than the sum of its proper divisors (49650387480).

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

19942462440 is a wasteful number, since it uses less digits than its factorization.

19942462440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 19942462440 in words is "nineteen billion, nine hundred forty-two million, four hundred sixty-two thousand, four hundred forty".