Search a number
-
+
144765712 = 24713195233
BaseRepresentation
bin10001010000011…
…11001100010000
3101002101212020001
420220033030100
5244030000322
622210455344
73405326320
oct1050171420
9332355201
10144765712
1174797693
1240594554
1323cb85b0
1415325280
15ca98827
hex8a0f310

144765712 has 80 divisors (see below), whose sum is σ = 363448960. Its totient is φ = 54245376.

The previous prime is 144765697. The next prime is 144765743. The reversal of 144765712 is 217567441.

It is a super-2 number, since 2×1447657122 = 41914222741733888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25048 + ... + 30280.

It is an arithmetic number, because the mean of its divisors is an integer number (4543112).

Almost surely, 2144765712 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 144765712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181724480).

144765712 is an abundant number, since it is smaller than the sum of its proper divisors (218683248).

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

144765712 is a wasteful number, since it uses less digits than its factorization.

144765712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5274 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 144765712 is about 12031.8623662341. The cubic root of 144765712 is about 525.0756800953.

The spelling of 144765712 in words is "one hundred forty-four million, seven hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 3458 3952 5233 6916 10466 13832 20932 27664 36631 41864 68029 73262 83728 99427 136058 146524 198854 272116 293048 397708 476203 544232 586096 695989 795416 952406 1088464 1292551 1391978 1590832 1904812 2585102 2783956 3809624 5170204 5567912 7619248 9047857 10340408 11135824 18095714 20680816 36191428 72382856 144765712