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144160020 = 223352391117
BaseRepresentation
bin10001001011110…
…11010100010100
3101001021002101000
420211323110110
5243401110040
622145503300
73400224414
oct1045732424
9331232330
10144160020
1174413614
1240341b30
1323b359b4
1415208644
15c9c9130
hex897b514

144160020 has 96 divisors (see below), whose sum is σ = 450777600. Its totient is φ = 38247552.

The previous prime is 144159997. The next prime is 144160057. The reversal of 144160020 is 20061441.

144160020 is a `hidden beast` number, since 1 + 4 + 41 + 600 + 20 = 666.

It is a super-2 number, since 2×1441600202 = 41564222732800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144159975 and 144160002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128502 + ... + 129618.

It is an arithmetic number, because the mean of its divisors is an integer number (4695600).

Almost surely, 2144160020 is an apocalyptic number.

144160020 is a gapful number since it is divisible by the number (10) 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 144160020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225388800).

144160020 is an abundant number, since it is smaller than the sum of its proper divisors (306617580).

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

144160020 is a wasteful number, since it uses less digits than its factorization.

144160020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144160020 is about 12006.6656487136. The cubic root of 144160020 is about 524.3423602268.

The spelling of 144160020 in words is "one hundred forty-four million, one hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 239 270 478 540 717 956 1117 1195 1434 2151 2234 2390 2868 3351 3585 4302 4468 4780 5585 6453 6702 7170 8604 10053 10755 11170 12906 13404 14340 16755 20106 21510 22340 25812 30159 32265 33510 40212 43020 50265 60318 64530 67020 100530 120636 129060 150795 201060 266963 301590 533926 603180 800889 1067852 1334815 1601778 2402667 2669630 3203556 4004445 4805334 5339260 7208001 8008890 9610668 12013335 14416002 16017780 24026670 28832004 36040005 48053340 72080010 144160020