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144379968 = 2631794201
BaseRepresentation
bin10001001101100…
…01000001000000
3101001200021002020
420212301001000
5243430124333
622154321440
73402131565
oct1046610100
9331607066
10144379968
1174553897
1240429280
1323bb1b45
141526486c
15ca1e3b3
hex89b1040

144379968 has 56 divisors (see below), whose sum is σ = 384230880. Its totient is φ = 47846400.

The previous prime is 144379933. The next prime is 144379981. The reversal of 144379968 is 869973441.

It is a self number, because there is not a number n which added to its sum of digits gives 144379968.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32268 + ... + 36468.

Almost surely, 2144379968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192115440).

144379968 is an abundant number, since it is smaller than the sum of its proper divisors (239850912).

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

144379968 is a wasteful number, since it uses less digits than its factorization.

144379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4385 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 144379968 is about 12015.8215699136. The cubic root of 144379968 is about 524.6088914752.

The spelling of 144379968 in words is "one hundred forty-four million, three hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 4201 4296 5728 8402 8592 11456 12603 16804 17184 25206 33608 34368 50412 67216 100824 134432 201648 268864 403296 751979 806592 1503958 2255937 3007916 4511874 6015832 9023748 12031664 18047496 24063328 36094992 48126656 72189984 144379968