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144131412066200 = 235213111749628611
BaseRepresentation
bin100000110001011000110101…
…100111011111111110011000
3200220022211100220220212211022
4200301120311213133332120
5122342422112442104300
61230313020121422012
742234102516315506
oct4061306547377630
9626284326825738
10144131412066200
1141a198746821a9
12141b977233a908
1362566c2ac5590
142783dd7469676
15119e2c7285285
hex8316359dff98

144131412066200 has 96 divisors (see below), whose sum is σ = 361205971286160. Its totient is φ = 53170107609600.

The previous prime is 144131412066179. The next prime is 144131412066251. The reversal of 144131412066200 is 2660214131441.

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, 21910106 + ... + 27718505.

Almost surely, 2144131412066200 is an apocalyptic number.

144131412066200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144131412066200 is an abundant number, since it is smaller than the sum of its proper divisors (217074559219960).

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

144131412066200 is a wasteful number, since it uses less digits than its factorization.

144131412066200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49629757 (or 49629748 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

Adding to 144131412066200 its reverse (2660214131441), we get a palindrome (146791626197641).

The spelling of 144131412066200 in words is "one hundred forty-four trillion, one hundred thirty-one billion, four hundred twelve million, sixty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1117 1300 2234 2600 4468 5585 8936 11170 14521 22340 27925 29042 44680 55850 58084 72605 111700 116168 145210 223400 290420 363025 580840 726050 1452100 2904200 49628611 99257222 198514444 248143055 397028888 496286110 645171943 992572220 1240715275 1290343886 1985144440 2481430550 2580687772 3225859715 4962861100 5161375544 6451719430 9925722200 12903438860 16129298575 25806877720 32258597150 55435158487 64517194300 110870316974 129034388600 221740633948 277175792435 443481267896 554351584870 720657060331 1108703169740 1385878962175 1441314120662 2217406339480 2771757924350 2882628241324 3603285301655 5543515848700 5765256482648 7206570603310 11087031697400 14413141206620 18016426508275 28826282413240 36032853016550 72065706033100 144131412066200