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144661950 = 23452231553
BaseRepresentation
bin10001001111101…
…01110110111110
3101002012120220000
420213311312332
5244013140300
622204335130
73404414646
oct1047656676
9332176800
10144661950
1174726734
12405444a6
1323c802b4
14152d9526
15ca77c00
hex89f5dbe

144661950 has 120 divisors (see below), whose sum is σ = 419691888. Its totient is φ = 36875520.

The previous prime is 144661949. The next prime is 144661969. The reversal of 144661950 is 59166441.

144661950 is a `hidden beast` number, since 1 + 4 + 466 + 195 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92374 + ... + 93926.

Almost surely, 2144661950 is an apocalyptic number.

144661950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144661950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209845944).

144661950 is an abundant number, since it is smaller than the sum of its proper divisors (275029938).

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

144661950 is a wasteful number, since it uses less digits than its factorization.

144661950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 144661950 is about 12027.5496257550. The cubic root of 144661950 is about 524.9501993578.

The spelling of 144661950 in words is "one hundred forty-four million, six hundred sixty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 81 90 115 135 138 150 162 207 225 230 270 345 405 414 450 575 621 675 690 810 1035 1150 1242 1350 1553 1725 1863 2025 2070 3105 3106 3450 3726 4050 4659 5175 6210 7765 9315 9318 10350 13977 15525 15530 18630 23295 27954 31050 35719 38825 41931 46575 46590 69885 71438 77650 83862 93150 107157 116475 125793 139770 178595 209655 214314 232950 251586 321471 349425 357190 419310 535785 628965 642942 698850 892975 964413 1048275 1071570 1257930 1607355 1785950 1928826 2096550 2678925 2893239 3144825 3214710 4822065 5357850 5786478 6289650 8036775 9644130 14466195 16073550 24110325 28932390 48220650 72330975 144661950