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1044201314340 = 2232541773183041
BaseRepresentation
bin11110011000111110011…
…11111001100000100100
310200211021011222211210100
433030133033321200210
5114102011014024330
62115411030024100
7135304165503462
oct17143717714044
93624234884710
101044201314340
11372930468648
1214a458aa8030
1377610897102
143877a9ad832
151c266edc060
hexf31f3f9824

1044201314340 has 144 divisors (see below), whose sum is σ = 3248879817456. Its totient is φ = 271309209600.

The previous prime is 1044201314339. The next prime is 1044201314357. The reversal of 1044201314340 is 434131024401.

1044201314340 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 0 + 1 + 314 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 215038093284 + 829163221056 = 463722^2 + 910584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5613220 + ... + 5796260.

It is an arithmetic number, because the mean of its divisors is an integer number (22561665399).

Almost surely, 21044201314340 is an apocalyptic number.

1044201314340 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 1044201314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624439908728).

1044201314340 is an abundant number, since it is smaller than the sum of its proper divisors (2204678503116).

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

1044201314340 is a wasteful number, since it uses less digits than its factorization.

1044201314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183870 (or 183865 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1044201314340 its reverse (434131024401), we get a palindrome (1478332338741).

The spelling of 1044201314340 in words is "one trillion, forty-four billion, two hundred one million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 773 820 1230 1476 1546 1845 2319 2460 3092 3690 3865 4638 6957 7380 7730 9276 11595 13914 15460 23190 27828 31693 34785 46380 63386 69570 95079 126772 139140 158465 183041 190158 285237 316930 366082 380316 475395 549123 570474 633860 732164 915205 950790 1098246 1140948 1426185 1647369 1830410 1901580 2196492 2745615 2852370 3294738 3660820 5491230 5704740 6589476 7504681 8236845 10982460 15009362 16473690 22514043 30018724 32947380 37523405 45028086 67542129 75046810 90056172 112570215 135084258 141490693 150093620 225140430 270168516 282981386 337710645 424472079 450280860 565962772 675421290 707453465 848944158 1273416237 1350842580 1414906930 1697888316 2122360395 2546832474 2829813860 4244720790 5093664948 5801118413 6367081185 8489441580 11602236826 12734162370 17403355239 23204473652 25468324740 29005592065 34806710478 52210065717 58011184130 69613420956 87016776195 104420131434 116022368260 174033552390 208840262868 261050328585 348067104780 522100657170 1044201314340