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144014662720 = 2654718152903
BaseRepresentation
bin1000011000011111110…
…0010101110001000000
3111202201121222212200001
42012013330111301000
54324420223201340
6150054234005344
713255550302225
oct2060774256100
9452647885601
10144014662720
1156092582715
1223ab2276854
1310771548676
146d828bb94c
153b2d3e129a
hex2187f15c40

144014662720 has 112 divisors (see below), whose sum is σ = 352173040128. Its totient is φ = 56067655680.

The previous prime is 144014662717. The next prime is 144014662723. The reversal of 144014662720 is 27266410441.

It is an interprime number because it is at equal distance from previous prime (144014662717) and next prime (144014662723).

It is a self number, because there is not a number n which added to its sum of digits gives 144014662720.

It is not an unprimeable number, because it can be changed into a prime (144014662723) 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, 2695789 + ... + 2748691.

It is an arithmetic number, because the mean of its divisors is an integer number (3144402144).

Almost surely, 2144014662720 is an apocalyptic number.

144014662720 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 144014662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176086520064).

144014662720 is an abundant number, since it is smaller than the sum of its proper divisors (208158377408).

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

144014662720 is a wasteful number, since it uses less digits than its factorization.

144014662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53148 (or 53138 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 144014662720 in words is "one hundred forty-four billion, fourteen million, six hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 181 188 235 320 362 376 470 724 752 905 940 1448 1504 1810 1880 2896 3008 3620 3760 5792 7240 7520 8507 11584 14480 15040 17014 28960 34028 42535 52903 57920 68056 85070 105806 136112 170140 211612 264515 272224 340280 423224 529030 544448 680560 846448 1058060 1361120 1692896 2116120 2486441 2722240 3385792 4232240 4972882 8464480 9575443 9945764 12432205 16928960 19150886 19891528 24864410 38301772 39783056 47877215 49728820 76603544 79566112 95754430 99457640 153207088 159132224 191508860 198915280 306414176 383017720 397830560 450045821 612828352 766035440 795661120 900091642 1532070880 1800183284 2250229105 3064141760 3600366568 4500458210 7200733136 9000916420 14401466272 18001832840 28802932544 36003665680 72007331360 144014662720