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145992144 = 24331412393
BaseRepresentation
bin10001011001110…
…10100111010000
3101011201011120110
420230322213100
5244333222034
622253041320
73421625034
oct1054724720
9334634513
10145992144
1175455071
1240a86240
13243278ac
14155641c4
15cc3bde9
hex8b3a9d0

145992144 has 80 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 45926400.

The previous prime is 145992127. The next prime is 145992151. The reversal of 145992144 is 441299541.

It is a super-2 number, since 2×1459921442 = 42627412219433472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59812 + ... + 62204.

Almost surely, 2145992144 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 145992144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

145992144 is an abundant number, since it is smaller than the sum of its proper divisors (252982320).

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

145992144 is a wasteful number, since it uses less digits than its factorization.

145992144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2470 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 145992144 is about 12082.7208856284. The cubic root of 145992144 is about 526.5542981620.

The spelling of 145992144 in words is "one hundred forty-five million, nine hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1271 1488 1968 2393 2542 3813 4786 5084 7179 7626 9572 10168 14358 15252 19144 20336 28716 30504 38288 57432 61008 74183 98113 114864 148366 196226 222549 294339 296732 392452 445098 588678 593464 784904 890196 1177356 1186928 1569808 1780392 2354712 3041503 3560784 4709424 6083006 9124509 12166012 18249018 24332024 36498036 48664048 72996072 145992144