Search a number
-
+
144962944 = 2771731307
BaseRepresentation
bin10001010001111…
…11010110000000
3101002202212202221
420220333112000
5244102303234
622215020424
73410110330
oct1050772600
9332685687
10144962944
1174911895
124066a714
13240572b9
14153770c0
15cad6eb4
hex8a3f580

144962944 has 128 divisors (see below), whose sum is σ = 361912320. Its totient is φ = 56401920.

The previous prime is 144962891. The next prime is 144962947. The reversal of 144962944 is 449269441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 144962944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144962947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472039 + ... + 472345.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 2144962944 is an apocalyptic number.

144962944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144962944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180956160).

144962944 is an abundant number, since it is smaller than the sum of its proper divisors (216949376).

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

144962944 is a wasteful number, since it uses less digits than its factorization.

144962944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 144962944 is about 12040.0558138241. The cubic root of 144962944 is about 525.3140301140.

The spelling of 144962944 in words is "one hundred forty-four million, nine hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 272 307 434 448 476 496 527 544 614 868 896 952 992 1054 1088 1228 1736 1904 1984 2108 2149 2176 2456 3472 3689 3808 3968 4216 4298 4912 5219 6944 7378 7616 8432 8596 9517 9824 10438 13888 14756 15232 16864 17192 19034 19648 20876 27776 29512 33728 34384 36533 38068 39296 41752 59024 66619 67456 68768 73066 76136 83504 118048 133238 137536 146132 152272 161789 167008 236096 266476 275072 292264 304544 323578 334016 472192 532952 584528 609088 647156 668032 1065904 1132523 1169056 1218176 1294312 2131808 2265046 2338112 2588624 4263616 4530092 4676224 5177248 8527232 9060184 10354496 18120368 20708992 36240736 72481472 144962944