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144636875240 = 235111338965003
BaseRepresentation
bin1000011010110100000…
…1111001000111101000
3111211022222210112210012
42012231001321013220
54332204020001430
6150240102111052
713310144104004
oct2065501710750
9454288715705
10144636875240
1156381822140
122404671b488
1310840420760
1470013a7704
153b67d4a695
hex21ad0791e8

144636875240 has 128 divisors (see below), whose sum is σ = 383315587200. Its totient is φ = 48423889920.

The previous prime is 144636875197. The next prime is 144636875249. The reversal of 144636875240 is 42578636441.

It is not an unprimeable number, because it can be changed into a prime (144636875249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2192579 + ... + 2257581.

It is an arithmetic number, because the mean of its divisors is an integer number (2994653025).

Almost surely, 2144636875240 is an apocalyptic number.

144636875240 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 144636875240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191657793600).

144636875240 is an abundant number, since it is smaller than the sum of its proper divisors (238678711960).

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

144636875240 is a wasteful number, since it uses less digits than its factorization.

144636875240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65427 (or 65423 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 144636875240 in words is "one hundred forty-four billion, six hundred thirty-six million, eight hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 389 440 520 572 715 778 1144 1430 1556 1945 2860 3112 3890 4279 5057 5720 7780 8558 10114 15560 17116 20228 21395 25285 34232 40456 42790 50570 55627 65003 85580 101140 111254 130006 171160 202280 222508 260012 278135 325015 445016 520024 556270 650030 715033 845039 1112540 1300060 1430066 1690078 2225080 2600120 2860132 3380156 3575165 4225195 5720264 6760312 7150330 8450390 9295429 14300660 16900780 18590858 25286167 28601320 33801560 37181716 46477145 50572334 74363432 92954290 101144668 126430835 185908580 202289336 252861670 278147837 328720171 371817160 505723340 556295674 657440342 1011446680 1112591348 1314880684 1390739185 1643600855 2225182696 2629761368 2781478370 3287201710 3615921881 5562956740 6574403420 7231843762 11125913480 13148806840 14463687524 18079609405 28927375048 36159218810 72318437620 144636875240