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142400584395 = 3258833583757
BaseRepresentation
bin1000010010011110111…
…1000111101011001011
3111121120010211012110100
42010213233013223023
54313114022200040
6145230134420443
713200550665426
oct2044757075313
9447503735410
10142400584395
1155434465793
1223721801723
1310575023934
146c6c3a09bd
153a86860b30
hex2127bc7acb

142400584395 has 24 divisors (see below), whose sum is σ = 247107281616. Its totient is φ = 75860947008.

The previous prime is 142400584373. The next prime is 142400584429. The reversal of 142400584395 is 593485004241.

142400584395 is a `hidden beast` number, since 14 + 24 + 0 + 0 + 584 + 39 + 5 = 666.

It is not a de Polignac number, because 142400584395 - 26 = 142400584331 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142400584395.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752144 + ... + 1831613.

It is an arithmetic number, because the mean of its divisors is an integer number (10296136734).

Almost surely, 2142400584395 is an apocalyptic number.

142400584395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142400584395 is a deficient number, since it is larger than the sum of its proper divisors (104706697221).

142400584395 is a wasteful number, since it uses less digits than its factorization.

142400584395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584651 (or 3584648 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

It can be divided in two parts, 14240058 and 4395, that added together give a triangular number (14244453 = T5337).

The spelling of 142400584395 in words is "one hundred forty-two billion, four hundred million, five hundred eighty-four thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 45 883 2649 4415 7947 13245 39735 3583757 10751271 17918785 32253813 53756355 161269065 3164457431 9493372293 15822287155 28480116879 47466861465 142400584395