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314055045310240 = 25513178881647209
BaseRepresentation
bin100011101101000011010001…
…1011010100110011100100000
31112011222100222002100000202201
41013122012203122212130200
5312130434213044411430
63031534521315222544
7123102504535433533
oct10732064332463440
91464870862300681
10314055045310240
1191081aa6752443
122b281b7b2a7a54
131063135745cc50
14577a4b96cca1a
15264945c0088ca
hex11da1a36a6720

314055045310240 has 96 divisors (see below), whose sum is σ = 846030186635760. Its totient is φ = 109137680891904.

The previous prime is 314055045310213. The next prime is 314055045310249. The reversal of 314055045310240 is 42013540550413.

It can be written as a sum of positive squares in 8 ways, for example, as 68859658541584 + 245195386768656 = 8298172^2 + 15658716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 314055045310240.

It is not an unprimeable number, because it can be changed into a prime (314055045310249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4440788245 + ... + 4440858964.

Almost surely, 2314055045310240 is an apocalyptic number.

It is an amenable number.

314055045310240 is an abundant number, since it is smaller than the sum of its proper divisors (531975141325520).

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

314055045310240 is a wasteful number, since it uses less digits than its factorization.

314055045310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881647254 (or 8881647246 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 314055045310240 its reverse (42013540550413), we get a palindrome (356068585860653).

The spelling of 314055045310240 in words is "three hundred fourteen trillion, fifty-five billion, forty-five million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 8881647209 17763294418 35526588836 44408236045 71053177672 88816472090 115461413717 142106355344 150988002553 177632944180 230922827434 284212710688 301976005106 355265888360 461845654868 577307068585 603952010212 710531776720 754940012765 923691309736 1154614137170 1207904020424 1421063553440 1509880025530 1847382619472 1962844033189 2309228274340 2415808040848 3019760051060 3694765238944 3925688066378 4618456548680 4831616081696 6039520102120 7851376132756 9236913097360 9814220165945 12079040204240 15702752265512 18473826194720 19628440331890 24158080408480 31405504531024 39256880663780 62811009062048 78513761327560 157027522655120 314055045310240