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114003580604418 = 2321483216972
BaseRepresentation
bin11001111010111110000110…
…111011001101000000000010
3112221122122011112210000220200
4121322332012323031000002
5104420313313113320133
61042244304422350030
733004326001253631
oct3172760673150002
9487578145700820
10114003580604418
113336371320296a
12109527a858b316
134b7c650b48a1b
142021b34a21518
15d2a764bec913
hex67af86ecd002

114003580604418 has 54 divisors (see below), whose sum is σ = 247320169391529. Its totient is φ = 37953190933632.

The previous prime is 114003580604399. The next prime is 114003580604423. The reversal of 114003580604418 is 814406085300411.

114003580604418 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 3 + 580 + 60 + 4 + 4 + 1 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78621153058449 + 35382427545969 = 8866857^2 + 5948313^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7549953.

It is a super-2 number, since 2×1140035806044182 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67179480946 + ... + 67179482642.

Almost surely, 2114003580604418 is an apocalyptic number.

114003580604418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

114003580604418 is an abundant number, since it is smaller than the sum of its proper divisors (133316588787111).

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

114003580604418 is an frugal number, since it uses more digits than its factorization.

114003580604418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 114003580604418 in words is "one hundred fourteen trillion, three billion, five hundred eighty million, six hundred four thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 1483 1697 2966 3394 4449 5091 8898 10182 13347 15273 26694 30546 2199289 2516651 2879809 4398578 5033302 5759618 6597867 7549953 8639427 13195734 15099906 17278854 19793601 22649859 25918281 39587202 45299718 51836562 3732193433 4270756747 7464386866 8541513494 11196580299 12812270241 22393160598 25624540482 33589740897 38436810723 67179481794 76873621446 6333532255801 12667064511602 19000596767403 38001193534806 57001790302209 114003580604418