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10142423066320 = 245126780288329
BaseRepresentation
bin1001001110010111011110…
…0001100010011011010000
31022220121100220100122200121
42103211313201202123100
52312133140301110240
633323210445400024
72064523461420016
oct223456741423320
938817326318617
1010142423066320
113260417454806
121179804b69014
13587570a2116c
14270c784a28b6
15128c6374504a
hex939778626d0

10142423066320 has 20 divisors (see below), whose sum is σ = 23581133629380. Its totient is φ = 4056969226496.

The previous prime is 10142423066263. The next prime is 10142423066329. The reversal of 10142423066320 is 2366032424101.

It can be written as a sum of positive squares in 2 ways, for example, as 2759399388736 + 7383023677584 = 1661144^2 + 2717172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×101424230663202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142423066329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63390144085 + ... + 63390144244.

It is an arithmetic number, because the mean of its divisors is an integer number (1179056681469).

Almost surely, 210142423066320 is an apocalyptic number.

10142423066320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142423066320 is an abundant number, since it is smaller than the sum of its proper divisors (13438710563060).

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

10142423066320 is a wasteful number, since it uses less digits than its factorization.

10142423066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126780288342 (or 126780288336 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 10142423066320 in words is "ten trillion, one hundred forty-two billion, four hundred twenty-three million, sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 126780288329 253560576658 507121153316 633901441645 1014242306632 1267802883290 2028484613264 2535605766580 5071211533160 10142423066320