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540113311045 = 571179101193911
BaseRepresentation
bin1111101110000010100…
…00110001010101000101
31220122010102111001021101
413313001100301111011
532322123001423140
61052042530420101
754010340252140
oct7670120612505
91818112431241
10540113311045
11199073979830
1288816a31631
133bc17824799
141c1da889057
15e0b254d99a
hex7dc1431545

540113311045 has 128 divisors (see below), whose sum is σ = 831589908480. Its totient is φ = 327075840000.

The previous prime is 540113311037. The next prime is 540113311069.

540113311045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540113311045 - 23 = 540113311037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 592879140 + ... + 592880050.

It is an arithmetic number, because the mean of its divisors is an integer number (6496796160).

Almost surely, 2540113311045 is an apocalyptic number.

540113311045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540113311045 is a deficient number, since it is larger than the sum of its proper divisors (291476597435).

540113311045 is a wasteful number, since it uses less digits than its factorization.

540113311045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307.

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 540113 and 311045, that added together give a palindrome (851158).

The spelling of 540113311045 in words is "five hundred forty billion, one hundred thirteen million, three hundred eleven thousand, forty-five".

Divisors: 1 5 7 11 35 55 77 79 101 193 385 395 505 553 707 869 911 965 1111 1351 2123 2765 3535 4345 4555 5555 6083 6377 6755 7777 7979 10021 10615 14861 15247 19493 30415 31885 38885 39895 50105 55853 70147 71969 74305 76235 87769 92011 97465 106729 136451 167717 175823 214423 279265 350735 359845 438845 460055 503783 533645 614383 644077 682255 791659 838585 879115 1012121 1072115 1174019 1230761 1500961 1539947 1934053 2518915 3071915 3220385 3958295 5060605 5541613 5870095 6153805 7084847 7268869 7504805 7699735 9670265 10779629 13538371 13890017 16939417 17758123 27708065 35424235 36344345 50882083 53898145 67691855 69450085 79957559 84697085 88790615 97230119 118575919 124306861 152790187 195339353 254410415 399787795 486150595 559702913 592879595 621534305 763950935 976696765 1069531309 1367375471 1402891717 2798514565 5347656545 6836877355 7014458585 9820242019 15431808887 49101210095 77159044435 108022662209 540113311045