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10044003420 = 22325115072729
BaseRepresentation
bin10010101101010101…
…10101010001011100
3221220222120020110200
421112222311101130
5131032231102140
64340353503500
7503620422543
oct112652652134
927828506420
1010044003420
11429463a480
121b43871b90
13c40b562b9
146b3d3915a
153dbba1030
hex256ab545c

10044003420 has 72 divisors (see below), whose sum is σ = 33236526960. Its totient is φ = 2434909440.

The previous prime is 10044003371. The next prime is 10044003451. The reversal of 10044003420 is 2430044001.

10044003420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10044003393 and 10044003402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2534385 + ... + 2538344.

It is an arithmetic number, because the mean of its divisors is an integer number (461618430).

Almost surely, 210044003420 is an apocalyptic number.

10044003420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044003420 is an abundant number, since it is smaller than the sum of its proper divisors (23192523540).

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

10044003420 is a wasteful number, since it uses less digits than its factorization.

10044003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072755 (or 5072750 counting only the distinct ones).

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

Adding to 10044003420 its reverse (2430044001), we get a palindrome (12474047421).

The spelling of 10044003420 in words is "ten billion, forty-four million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5072729 10145458 15218187 20290916 25363645 30436374 45654561 50727290 55800019 60872748 76090935 91309122 101454580 111600038 152181870 167400057 182618244 223200076 228272805 279000095 304363740 334800114 456545610 502200171 558000190 669600228 837000285 913091220 1004400342 1116000380 1674000570 2008800684 2511000855 3348001140 5022001710 10044003420