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144953088 = 283759457
BaseRepresentation
bin10001010001111…
…00111100000000
3101002202101020220
420220330330000
5244101444323
622214503040
73410036520
oct1050747400
9332671226
10144953088
1174905445
1240664a80
1324052977
1415373680
15cad40e3
hex8a3cf00

144953088 has 144 divisors (see below), whose sum is σ = 449352960. Its totient is φ = 40624128.

The previous prime is 144953077. The next prime is 144953089. The reversal of 144953088 is 880359441.

It is a super-2 number, since 2×1449530882 = 42022795441471488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144953089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316956 + ... + 317412.

Almost surely, 2144953088 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 144953088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224676480).

144953088 is an abundant number, since it is smaller than the sum of its proper divisors (304399872).

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

144953088 is an equidigital number, since it uses as much as digits as its factorization.

144953088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 144953088 is about 12039.6465064386. The cubic root of 144953088 is about 525.3021245142.

The spelling of 144953088 in words is "one hundred forty-four million, nine hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 168 177 192 224 236 256 336 354 384 413 448 457 472 672 708 768 826 896 914 944 1239 1344 1371 1416 1652 1792 1828 1888 2478 2688 2742 2832 3199 3304 3656 3776 4956 5376 5484 5664 6398 6608 7312 7552 9597 9912 10968 11328 12796 13216 14624 15104 19194 19824 21936 22656 25592 26432 26963 29248 38388 39648 43872 45312 51184 52864 53926 58496 76776 79296 80889 87744 102368 105728 107852 116992 153552 158592 161778 175488 188741 204736 215704 307104 317184 323556 350976 377482 409472 431408 566223 614208 647112 754964 818944 862816 1132446 1228416 1294224 1509928 1725632 2264892 2456832 2588448 3019856 3451264 4529784 5176896 6039712 6902528 9059568 10353792 12079424 18119136 20707584 24158848 36238272 48317696 72476544 144953088