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144115860 = 22357249019
BaseRepresentation
bin10001001011100…
…00100010010100
3101001011211210110
420211300202110
5243343201420
622144523020
73366651600
oct1045604224
9331154713
10144115860
1174393419
1240320470
1323b1b875
14151d6500
15c9baee0
hex8970894

144115860 has 72 divisors (see below), whose sum is σ = 469415520. Its totient is φ = 32940096.

The previous prime is 144115837. The next prime is 144115879. The reversal of 144115860 is 68511441.

It is a super-2 number, since 2×1441158602 = 41538762207079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21570 + ... + 27449.

It is an arithmetic number, because the mean of its divisors is an integer number (6519660).

Almost surely, 2144115860 is an apocalyptic number.

144115860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144115860 is an abundant number, since it is smaller than the sum of its proper divisors (325299660).

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

144115860 is a wasteful number, since it uses less digits than its factorization.

144115860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49045 (or 49036 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 144115860 is about 12004.8265293589. The cubic root of 144115860 is about 524.2888148140.

The spelling of 144115860 in words is "one hundred forty-four million, one hundred fifteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 49019 98038 147057 196076 245095 294114 343133 490190 588228 686266 735285 980380 1029399 1372532 1470570 1715665 2058798 2401931 2941140 3431330 4117596 4803862 5146995 6862660 7205793 9607724 10293990 12009655 14411586 20587980 24019310 28823172 36028965 48038620 72057930 144115860