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144679140 = 223251515323
BaseRepresentation
bin10001001111110…
…10000011100100
3101002020110110200
420213322003210
5244014213030
622204550500
73404516034
oct1047720344
9332213420
10144679140
1174738641
1240552430
1323c88078
14153018c4
15ca7cd60
hex89fa0e4

144679140 has 72 divisors (see below), whose sum is σ = 441849408. Its totient is φ = 38318400.

The previous prime is 144679127. The next prime is 144679141. The reversal of 144679140 is 41976441.

144679140 is a `hidden beast` number, since 1 + 446 + 79 + 140 = 666.

It is a super-2 number, since 2×1446791402 = 41864107102279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144679095 and 144679104.

It is not an unprimeable number, because it can be changed into a prime (144679141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24519 + ... + 29841.

Almost surely, 2144679140 is an apocalyptic number.

144679140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144679140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220924704).

144679140 is an abundant number, since it is smaller than the sum of its proper divisors (297170268).

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

144679140 is a wasteful number, since it uses less digits than its factorization.

144679140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 144679140 is about 12028.2642139255. The cubic root of 144679140 is about 524.9709915945.

The spelling of 144679140 in words is "one hundred forty-four million, six hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4530 5323 5436 6795 9060 10646 13590 15969 21292 26615 27180 31938 47907 53230 63876 79845 95814 106460 159690 191628 239535 319380 479070 803773 958140 1607546 2411319 3215092 4018865 4822638 7233957 8037730 9645276 12056595 14467914 16075460 24113190 28935828 36169785 48226380 72339570 144679140