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144678840 = 23351770921
BaseRepresentation
bin10001001111110…
…01111110111000
3101002020110001120
420213321332320
5244014210330
622204545240
73404515125
oct1047717670
9332213046
10144678840
1174738399
1240552220
1323c87ba7
141530174c
15ca7cc10
hex89f9fb8

144678840 has 64 divisors (see below), whose sum is σ = 459574560. Its totient is φ = 36311040.

The previous prime is 144678839. The next prime is 144678887. The reversal of 144678840 is 48876441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144678792 and 144678801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33421 + ... + 37500.

Almost surely, 2144678840 is an apocalyptic number.

144678840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144678840 is an abundant number, since it is smaller than the sum of its proper divisors (314895720).

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

144678840 is a wasteful number, since it uses less digits than its factorization.

144678840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70952 (or 70948 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 144678840 is about 12028.2517432917. The cubic root of 144678840 is about 524.9706287423.

The spelling of 144678840 in words is "one hundred forty-four million, six hundred seventy-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 70921 141842 212763 283684 354605 425526 567368 709210 851052 1063815 1205657 1418420 1702104 2127630 2411314 2836840 3616971 4255260 4822628 6028285 7233942 8510520 9645256 12056570 14467884 18084855 24113140 28935768 36169710 48226280 72339420 144678840