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10042414000 = 24535021207
BaseRepresentation
bin10010101101001001…
…10001001110110000
3221220212120111012021
421112210301032300
5131031324222000
64340255441224
7503601052633
oct112644611660
927825514167
1010042414000
114293754303
121b43226214
13c4071aa08
146b3a43c1a
153db98a11a
hex2569313b0

10042414000 has 40 divisors (see below), whose sum is σ = 24282561888. Its totient is φ = 4016964800.

The previous prime is 10042413991. The next prime is 10042414027. The reversal of 10042414000 is 41424001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2508604 + ... + 2512603.

Almost surely, 210042414000 is an apocalyptic number.

10042414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042414000 is an abundant number, since it is smaller than the sum of its proper divisors (14240147888).

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

10042414000 is an equidigital number, since it uses as much as digits as its factorization.

10042414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021230 (or 5021214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10042414000 its reverse (41424001), we get a palindrome (10083838001).

The spelling of 10042414000 in words is "ten billion, forty-two million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5021207 10042414 20084828 25106035 40169656 50212070 80339312 100424140 125530175 200848280 251060350 401696560 502120700 627650875 1004241400 1255301750 2008482800 2510603500 5021207000 10042414000