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1056314212640 = 255137358113457
BaseRepresentation
bin11110101111100010011…
…10111100000100100000
310201222112100112211111022
433113301032330010200
5114301312414301030
62125133011305012
7136213310443001
oct17276116740440
93658470484438
101056314212640
11377a869203a5
121508795ab168
13787c123a25b
14391a95b91a8
151c72560dde5
hexf5f13bc120

1056314212640 has 96 divisors (see below), whose sum is σ = 2514646787184. Its totient is φ = 419293265920.

The previous prime is 1056314212637. The next prime is 1056314212649. The reversal of 1056314212640 is 462124136501.

1056314212640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1013154981136 + 43159231504 = 1006556^2 + 207748^2 .

It is a super-3 number, since 3×10563142126403 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1056314212640.

It is not an unprimeable number, because it can be changed into a prime (1056314212649) 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, 78488792 + ... + 78502248.

Almost surely, 21056314212640 is an apocalyptic number.

1056314212640 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 1056314212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257323393592).

1056314212640 is an abundant number, since it is smaller than the sum of its proper divisors (1458332574544).

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

1056314212640 is a wasteful number, since it uses less digits than its factorization.

1056314212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17190 (or 17182 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 1056314212640 in words is "one trillion, fifty-six billion, three hundred fourteen million, two hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 3581 4384 5480 7162 10960 13457 14324 17905 21920 26914 28648 35810 53828 57296 67285 71620 107656 114592 134570 143240 215312 269140 286480 430624 490597 538280 572960 981194 1076560 1843609 1962388 2153120 2452985 3687218 3924776 4905970 7374436 7849552 9218045 9811940 14748872 15699104 18436090 19623880 29497744 36872180 39247760 48189517 58995488 73744360 78495520 96379034 147488720 192758068 240947585 294977440 385516136 481895170 771032272 963790340 1542064544 1927580680 3855161360 6601963829 7710322720 13203927658 26407855316 33009819145 52815710632 66019638290 105631421264 132039276580 211262842528 264078553160 528157106320 1056314212640