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144919838460 = 223517142078273
BaseRepresentation
bin1000011011110111100…
…1010011111011111100
3111212001201020120100110
42012331321103323330
54333243434312320
6150324131030020
713320151205445
oct2067571237374
9455051216313
10144919838460
115650751a641
122410543b310
1310886c34b07
14702abc42cc
153b82ae15e0
hex21bde53efc

144919838460 has 48 divisors (see below), whose sum is σ = 429644700576. Its totient is φ = 36372037632.

The previous prime is 144919838447. The next prime is 144919838501. The reversal of 144919838460 is 64838919441.

It is a self number, because there is not a number n which added to its sum of digits gives 144919838460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71038117 + ... + 71040156.

It is an arithmetic number, because the mean of its divisors is an integer number (8950931262).

Almost surely, 2144919838460 is an apocalyptic number.

144919838460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144919838460 is an abundant number, since it is smaller than the sum of its proper divisors (284724862116).

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

144919838460 is a wasteful number, since it uses less digits than its factorization.

144919838460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142078302 (or 142078300 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 144919838460 in words is "one hundred forty-four billion, nine hundred nineteen million, eight hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 142078273 284156546 426234819 568313092 710391365 852469638 1420782730 1704939276 2131174095 2415330641 2841565460 4262348190 4830661282 7245991923 8524696380 9661322564 12076653205 14491983846 24153306410 28983967692 36229959615 48306612820 72459919230 144919838460