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145159344 = 24331122777
BaseRepresentation
bin10001010011011…
…11010010110000
3101010010212012000
420221233102300
5244130044334
622223134000
73411556041
oct1051572260
9333125160
10145159344
1174a36400
1240744300
13240c5805
14153c88c8
15cb25299
hex8a6f4b0

145159344 has 120 divisors (see below), whose sum is σ = 458147760. Its totient is φ = 43971840.

The previous prime is 145159337. The next prime is 145159369. The reversal of 145159344 is 443951541.

It is a happy number.

145159344 is a `hidden beast` number, since 14 + 51 + 593 + 4 + 4 = 666.

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 = 145159299 and 145159308.

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 23 ways as a sum of consecutive naturals, for example, 50884 + ... + 53660.

It is an arithmetic number, because the mean of its divisors is an integer number (3817898).

Almost surely, 2145159344 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 145159344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229073880).

145159344 is an abundant number, since it is smaller than the sum of its proper divisors (312988416).

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

145159344 is a wasteful number, since it uses less digits than its factorization.

145159344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2793 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 145159344 is about 12048.2091615310. The cubic root of 145159344 is about 525.5511599496.

The spelling of 145159344 in words is "one hundred forty-five million, one hundred fifty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2777 2904 3267 4356 4752 5554 5808 6534 8331 8712 11108 13068 16662 17424 22216 24993 26136 30547 33324 44432 49986 52272 61094 66648 74979 91641 99972 122188 133296 149958 183282 199944 244376 274923 299916 336017 366564 399888 488752 549846 599832 672034 733128 824769 1008051 1099692 1199664 1344068 1466256 1649538 2016102 2199384 2688136 3024153 3299076 4032204 4398768 5376272 6048306 6598152 8064408 9072459 12096612 13196304 16128816 18144918 24193224 36289836 48386448 72579672 145159344