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1314302220032 = 28172329452773
BaseRepresentation
bin10011001000000010100…
…001000101011100000000
311122122102222111111202012
4103020002201011130000
5133013142332020112
62443440533512052
7163645430354024
oct23100241053400
94578388444665
101314302220032
1146743538084a
121928791a2628
1396c27200729
1447880c52384
15242c4855022
hex13202845700

1314302220032 has 144 divisors (see below), whose sum is σ = 2998522981440. Its totient is φ = 571202666496.

The previous prime is 1314302220019. The next prime is 1314302220041. The reversal of 1314302220032 is 2300222034131.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 2676398 + ... + 3129170.

It is an arithmetic number, because the mean of its divisors is an integer number (20823076260).

Almost surely, 21314302220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314302220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499261490720).

1314302220032 is an abundant number, since it is smaller than the sum of its proper divisors (1684220761408).

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

1314302220032 is a wasteful number, since it uses less digits than its factorization.

1314302220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452858 (or 452844 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1314302220032 its reverse (2300222034131), we get a palindrome (3614524254163).

The spelling of 1314302220032 in words is "one trillion, three hundred fourteen billion, three hundred two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 29 32 34 46 58 64 68 92 116 128 136 184 232 256 272 368 391 464 493 544 667 736 782 928 986 1088 1334 1472 1564 1856 1972 2176 2668 2944 3128 3712 3944 4352 5336 5888 6256 7424 7888 10672 11339 12512 15776 21344 22678 25024 31552 42688 45356 50048 63104 85376 90712 100096 126208 170752 181424 362848 452773 725696 905546 1451392 1811092 2902784 3622184 7244368 7697141 10413779 13130417 14488736 15394282 20827558 26260834 28977472 30788564 41655116 52521668 57954944 61577128 83310232 105043336 115909888 123154256 166620464 177034243 210086672 223217089 246308512 301999591 333240928 354068486 420173344 446434178 492617024 603999182 666481856 708136972 840346688 892868356 985234048 1207998364 1332963712 1416273944 1680693376 1785736712 1970468096 2415996728 2665927424 2832547888 3361386752 3571473424 4831993456 5133993047 5665095776 7142946848 9663986912 10267986094 11330191552 14285893696 19327973824 20535972188 22660383104 28571787392 38655947648 41071944376 45320766208 57143574784 77311895296 82143888752 164287777504 328575555008 657151110016 1314302220032