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1214254430312 = 2371131110357649
BaseRepresentation
bin10001101010110111001…
…101000011100001101000
311022002012110221012022212
4101222313031003201220
5124343243113232222
62325453142304252
7153504233234630
oct21526715034150
94262173835285
101214254430312
11428a64a74610
121773b7428088
138a67182a961
1442aad7116c0
15218bb32a6e2
hex11ab7343868

1214254430312 has 128 divisors (see below), whose sum is σ = 2932789248000. Its totient is φ = 457402291200.

The previous prime is 1214254430287. The next prime is 1214254430321. The reversal of 1214254430312 is 2130344524121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21034064 + ... + 21091712.

It is an arithmetic number, because the mean of its divisors is an integer number (22912416000).

Almost surely, 21214254430312 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 1214254430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466394624000).

1214254430312 is an abundant number, since it is smaller than the sum of its proper divisors (1718534817688).

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

1214254430312 is a wasteful number, since it uses less digits than its factorization.

1214254430312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58807 (or 58803 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 1214254430312 its reverse (2130344524121), we get a palindrome (3344598954433).

The spelling of 1214254430312 in words is "one trillion, two hundred fourteen billion, two hundred fifty-four million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1103 1364 1736 2206 2387 2728 4412 4774 7721 8824 9548 12133 15442 19096 24266 30884 34193 48532 57649 61768 68386 84931 97064 115298 136772 169862 230596 239351 273544 339724 376123 403543 461192 478702 634139 679448 752246 807086 957404 1268278 1504492 1614172 1787119 1914808 2536556 2632861 3008984 3228344 3574238 4438973 5073112 5265722 7148476 8877946 10531444 12509833 14296952 17755892 19658309 21062888 25019666 35511784 39316618 50039332 63586847 78633236 100078664 127173694 137608163 157266472 254347388 275216326 445107929 508694776 550432652 699455317 890215858 1100865304 1398910634 1780431716 1971192257 2797821268 3560863432 3942384514 4896187219 5595642536 7884769028 9792374438 13798345799 15769538056 19584748876 21683114827 27596691598 39169497752 43366229654 55193383196 86732459308 110386766392 151781803789 173464918616 303563607578 607127215156 1214254430312