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1311445533504 = 263172913854859
BaseRepresentation
bin10011000101011000001…
…111101100001101000000
311122101001220010210112110
4103011120033230031000
5132441320024033004
62442245245055320
7163514562051621
oct23053017541500
94571056123473
101311445533504
114661a98a5997
12192200557540
1396890416782
144768d6b3a48
15241a8b6e589
hex131583ec340

1311445533504 has 112 divisors (see below), whose sum is σ = 3800665195200. Its totient is φ = 397246488576.

The previous prime is 1311445533469. The next prime is 1311445533553. The reversal of 1311445533504 is 4053355441131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6832774 + ... + 7022085.

Almost surely, 21311445533504 is an apocalyptic number.

It is an amenable number.

1311445533504 is an abundant number, since it is smaller than the sum of its proper divisors (2489219661696).

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

1311445533504 is a wasteful number, since it uses less digits than its factorization.

1311445533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13854920 (or 13854910 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 1311445533504 in words is "one trillion, three hundred eleven billion, four hundred forty-five million, five hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 136 174 192 204 232 272 348 408 464 493 544 696 816 928 986 1088 1392 1479 1632 1856 1972 2784 2958 3264 3944 5568 5916 7888 11832 15776 23664 31552 47328 94656 13854859 27709718 41564577 55419436 83129154 110838872 166258308 221677744 235532603 332516616 401790911 443355488 471065206 665033232 706597809 803581822 886710976 942130412 1205372733 1330066464 1413195618 1607163644 1884260824 2410745466 2660132928 2826391236 3214327288 3768521648 4821490932 5652782472 6428654576 6830445487 7537043296 9642981864 11305564944 12857309152 13660890974 15074086592 19285963728 20491336461 22611129888 25714618304 27321781948 38571927456 40982672922 45222259776 54643563896 77143854912 81965345844 109287127792 163930691688 218574255584 327861383376 437148511168 655722766752 1311445533504