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144040004202415 = 5293171944568143
BaseRepresentation
bin100000110000000011101101…
…010010001010111110101111
3200220000002102112220021122211
4200300003231102022332233
5122334422412033434130
61230203021525551251
742224355403305016
oct4060035522127657
9626002375807584
10144040004202415
1141994028291222
12141a3b01b75527
13624abb6400409
14277d8055ada7d
15119bc2750da2a
hex8300ed48afaf

144040004202415 has 32 divisors (see below), whose sum is σ = 184833006796800. Its totient is φ = 107519751212160.

The previous prime is 144040004202403. The next prime is 144040004202443. The reversal of 144040004202415 is 514202400040441.

It is a de Polignac number, because none of the positive numbers 2k-144040004202415 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19052167 + ... + 25515976.

It is an arithmetic number, because the mean of its divisors is an integer number (5776031462400).

Almost surely, 2144040004202415 is an apocalyptic number.

144040004202415 is a deficient number, since it is larger than the sum of its proper divisors (40793002594385).

144040004202415 is a wasteful number, since it uses less digits than its factorization.

144040004202415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44568927.

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 144040004202415 its reverse (514202400040441), we get a palindrome (658242404242856).

The spelling of 144040004202415 in words is "one hundred forty-four trillion, forty billion, four million, two hundred two thousand, four hundred fifteen".

Divisors: 1 5 29 31 145 155 719 899 3595 4495 20851 22289 104255 111445 646381 3231905 44568143 222840715 1292476147 1381612433 6462380735 6908062165 32044494817 40066760557 160222474085 200333802785 929290349693 993379339327 4646451748465 4966896696635 28808000840483 144040004202415