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71442988354985 = 5132155501543713
BaseRepresentation
bin10000001111101000011101…
…111100010100110110101001
3100100221212211200210021011012
4100033220131330110312221
533331010220004324420
6411540242235513305
721022404565206062
oct2017503574246651
9310855750707135
1071442988354985
112084488a458815
12801a1682b8835
1330b307782b100
14138dc05493569
1583d5e1b80dc5
hex40fa1df14da9

71442988354985 has 24 divisors (see below), whose sum is σ = 92834378641944. Its totient is φ = 52757462784000.

The previous prime is 71442988354939. The next prime is 71442988355041. The reversal of 71442988354985 is 58945388924417.

It can be written as a sum of positive squares in 12 ways, for example, as 26112069340009 + 45330919014976 = 5109997^2 + 6732824^2 .

It is not a de Polignac number, because 71442988354985 - 28 = 71442988354729 is a prime.

It is a super-3 number, since 3×714429883549853 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131126489 + ... + 131670201.

It is an arithmetic number, because the mean of its divisors is an integer number (3868099110081).

Almost surely, 271442988354985 is an apocalyptic number.

It is an amenable number.

71442988354985 is a deficient number, since it is larger than the sum of its proper divisors (21391390286959).

71442988354985 is a wasteful number, since it uses less digits than its factorization.

71442988354985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699245 (or 699232 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 77.

The spelling of 71442988354985 in words is "seventy-one trillion, four hundred forty-two billion, nine hundred eighty-eight million, three hundred fifty-four thousand, nine hundred eighty-five".

Divisors: 1 5 13 65 169 845 155501 543713 777505 2021513 2718565 7068269 10107565 26279669 35341345 91887497 131398345 459437485 84547915213 422739576065 1099122897769 5495614488845 14288597670997 71442988354985