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144124342123635 = 32529110440108907
BaseRepresentation
bin100000110001010010010000…
…001101110011110001110011
3200220022011010012120120212200
4200301102100031303301303
5122342313123040424020
61230305450404154243
742233432360642166
oct4061222015636163
9626264105516780
10144124342123635
1141a168768a6765
12141b831a698983
136255b37171003
142783926503add
15119e011752590
hex831490373c73

144124342123635 has 24 divisors (see below), whose sum is σ = 258429854844720. Its totient is φ = 74215753184832.

The previous prime is 144124342123621. The next prime is 144124342123669. The reversal of 144124342123635 is 536321243421441.

It is a happy number.

144124342123635 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 2 + 4 + 3 + 4 + 2 + 1 + 2 + 3 + 635 = 666.

It is not a de Polignac number, because 144124342123635 - 28 = 144124342123379 is a prime.

It is a super-2 number, since 2×1441243421236352 (a number of 29 digits) contains 22 as substring.

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

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, 55220053149 + ... + 55220055758.

It is an arithmetic number, because the mean of its divisors is an integer number (10767910618530).

Almost surely, 2144124342123635 is an apocalyptic number.

144124342123635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144124342123635 is a deficient number, since it is larger than the sum of its proper divisors (114305512721085).

144124342123635 is a wasteful number, since it uses less digits than its factorization.

144124342123635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110440108947 (or 110440108944 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 144124342123635 in words is "one hundred forty-four trillion, one hundred twenty-four billion, three hundred forty-two million, one hundred twenty-three thousand, six hundred thirty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 110440108907 331320326721 552200544535 993960980163 1656601633605 3202763158303 4969804900815 9608289474909 16013815791515 28824868424727 48041447374545 144124342123635