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10042003944 = 2333723725643
BaseRepresentation
bin10010101101000110…
…01101000111101000
3221220211210122201000
421112203031013220
5131031223111234
64340242555000
7503564424300
oct112643150750
927824718630
1010042003944
1142934a4215
121b43068a60
13c4060618b
146b3978600
153db908899
hex2568cd1e8

10042003944 has 192 divisors, whose sum is σ = 33326942400. Its totient is φ = 2791490688.

The previous prime is 10042003901. The next prime is 10042003949. The reversal of 10042003944 is 44930024001.

It is a super-2 number, since 2×100420039442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10042003949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378787 + ... + 404429.

It is an arithmetic number, because the mean of its divisors is an integer number (173577825).

Almost surely, 210042003944 is an apocalyptic number.

10042003944 is a gapful number since it is divisible by the number (14) 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 10042003944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663471200).

10042003944 is an abundant number, since it is smaller than the sum of its proper divisors (23284938456).

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

10042003944 is a wasteful number, since it uses less digits than its factorization.

10042003944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25709 (or 25692 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10042003944 its reverse (44930024001), we get a palindrome (54972027945).

The spelling of 10042003944 in words is "ten billion, forty-two million, three thousand, nine hundred forty-four".