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144668928 = 2831131667
BaseRepresentation
bin10001001111101…
…11100100000000
3101002012221110110
420213313210000
5244013401203
622204431320
73404444205
oct1047674400
9332187413
10144668928
11747309a8
1240548540
1323c83521
14152dbcac
15ca79d03
hex89f7900

144668928 has 72 divisors (see below), whose sum is σ = 388670688. Its totient is φ = 47767552.

The previous prime is 144668921. The next prime is 144668947. The reversal of 144668928 is 829866441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (144668921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85951 + ... + 87617.

It is an arithmetic number, because the mean of its divisors is an integer number (5398204).

Almost surely, 2144668928 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 144668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194335344).

144668928 is an abundant number, since it is smaller than the sum of its proper divisors (244001760).

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

144668928 is a wasteful number, since it uses less digits than its factorization.

144668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1785 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 144668928 is about 12027.8397062814. The cubic root of 144668928 is about 524.9586398256.

The spelling of 144668928 in words is "one hundred forty-four million, six hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 678 768 904 1356 1667 1808 2712 3334 3616 5001 5424 6668 7232 10002 10848 13336 14464 20004 21696 26672 28928 40008 43392 53344 80016 86784 106688 160032 188371 213376 320064 376742 426752 565113 640128 753484 1130226 1280256 1506968 2260452 3013936 4520904 6027872 9041808 12055744 18083616 24111488 36167232 48222976 72334464 144668928