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1413232311144 = 2337319322918251
BaseRepresentation
bin10100100100001011001…
…101011011101101101000
312000002210120220211220210
4110210023031123231220
5141123244432424034
63001121401021120
7204050133304443
oct24441315335550
95002716824823
101413232311144
114a5391884525
121a9a887847a0
13a3362166a94
144c587b6865a
1526b64b9e8e9
hex1490b35bb68

1413232311144 has 128 divisors (see below), whose sum is σ = 3615954825600. Its totient is φ = 460173312000.

The previous prime is 1413232311137. The next prime is 1413232311151. The reversal of 1413232311144 is 4411132323141.

It is an interprime number because it is at equal distance from previous prime (1413232311137) and next prime (1413232311151).

It is a super-2 number, since 2×14132323111442 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77424019 + ... + 77442269.

It is an arithmetic number, because the mean of its divisors is an integer number (28249647075).

Almost surely, 21413232311144 is an apocalyptic number.

It is an amenable number.

1413232311144 is an abundant number, since it is smaller than the sum of its proper divisors (2202722514456).

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

1413232311144 is a wasteful number, since it uses less digits than its factorization.

1413232311144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18755 (or 18751 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 1413232311144 its reverse (4411132323141), we get a palindrome (5824364634285).

The spelling of 1413232311144 in words is "one trillion, four hundred thirteen billion, two hundred thirty-two million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 193 219 229 292 386 438 458 579 584 687 772 876 916 1158 1374 1544 1752 1832 2316 2748 4632 5496 14089 16717 18251 28178 33434 36502 42267 44197 50151 54753 56356 66868 73004 84534 88394 100302 109506 112712 132591 133736 146008 169068 176788 200604 219012 265182 338136 353576 401208 438024 530364 1060728 1332323 2664646 3226381 3522443 3996969 4179479 5329292 6452762 7044886 7993938 8358958 9679143 10567329 10658584 12538437 12905524 14089772 15987876 16717916 19358286 21134658 25076874 25811048 28179544 31975752 33435832 38716572 42269316 50153748 77433144 84538632 100307496 257138339 305101967 514276678 610203934 771415017 806639447 915305901 1028553356 1220407868 1542830034 1613278894 1830611802 2057106712 2419918341 2440815736 3085660068 3226557788 3661223604 4839836682 6171320136 6453115576 7322447208 9679673364 19359346728 58884679631 117769359262 176654038893 235538718524 353308077786 471077437048 706616155572 1413232311144