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144635713820 = 225138923092707
BaseRepresentation
bin1000011010110011110…
…1011101100100011100
3111211022220121112121122
42012230331131210130
54332203220320240
6150240021150112
713310131165643
oct2065475354434
9454286545548
10144635713820
11563810a9594
122404625b338
1310840104c20
14700118435a
153b67bbb4b5
hex21acf5d91c

144635713820 has 96 divisors (see below), whose sum is σ = 331040001600. Its totient is φ = 52761544704.

The previous prime is 144635713777. The next prime is 144635713847. The reversal of 144635713820 is 28317536441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53428907 + ... + 53431613.

It is an arithmetic number, because the mean of its divisors is an integer number (3448333350).

Almost surely, 2144635713820 is an apocalyptic number.

144635713820 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 144635713820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165520000800).

144635713820 is an abundant number, since it is smaller than the sum of its proper divisors (186404287780).

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

144635713820 is a wasteful number, since it uses less digits than its factorization.

144635713820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 144635713820 in words is "one hundred forty-four billion, six hundred thirty-five million, seven hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2309 2314 2707 4618 4628 5414 5785 9236 10828 11545 11570 13535 23090 23140 27070 30017 35191 46180 54140 60034 70382 120068 140764 150085 175955 205501 240923 300170 351910 411002 481846 600340 703820 822004 963692 1027505 1204615 2055010 2409230 2671513 3131999 4110020 4818460 5343026 6250463 6263998 10686052 12500926 12527996 13357565 15659995 25001852 26715130 31252315 31319990 53430260 62504630 62639980 81256019 125009260 162512038 325024076 406280095 556291207 812560190 1112582414 1625120380 2225164828 2781456035 5562912070 7231785691 11125824140 14463571382 28927142764 36158928455 72317856910 144635713820