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71442322324416 = 2632659811879811
BaseRepresentation
bin10000001111100111110110…
…001111100111101111000000
3100100221211010021112101222100
4100033213312033213233000
533331002334003340131
6411540052204310400
721022352230065021
oct2017476617475700
9310854107471870
1071442322324416
112084457850012a
12801a001242400
1330b2c9c853694
14138db80c3cc48
1583d5a346d7e6
hex40f9f63e7bc0

71442322324416 has 84 divisors (see below), whose sum is σ = 204779730138984. Its totient is φ = 23813733849600.

The previous prime is 71442322324411. The next prime is 71442322324423. The reversal of 71442322324416 is 61442322324417.

71442322324416 is a `hidden beast` number, since 7 + 1 + 4 + 4 + 2 + 3 + 223 + 2 + 4 + 416 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71442322324411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37065151 + ... + 38944961.

It is an arithmetic number, because the mean of its divisors is an integer number (2437853930226).

Almost surely, 271442322324416 is an apocalyptic number.

It is an amenable number.

71442322324416 is an abundant number, since it is smaller than the sum of its proper divisors (133337407814568).

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

71442322324416 is a wasteful number, since it uses less digits than its factorization.

71442322324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945810 (or 1945797 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

Subtracting from 71442322324416 its reverse (61442322324417), we obtain a palindrome (9999999999999).

The spelling of 71442322324416 in words is "seventy-one trillion, four hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 65981 131962 197943 263924 395886 527848 593829 791772 1055696 1187658 1583544 1879811 2111392 2375316 3167088 3759622 4222784 4750632 5639433 6334176 7519244 9501264 11278866 12668352 15038488 16918299 19002528 22557732 30076976 33836598 38005056 45115464 60153952 67673196 90230928 120307904 135346392 180461856 270692784 360923712 541385568 1082771136 124031809591 248063619182 372095428773 496127238364 744190857546 992254476728 1116286286319 1488381715092 1984508953456 2232572572638 2976763430184 3969017906912 4465145145276 5953526860368 7938035813824 8930290290552 11907053720736 17860580581104 23814107441472 35721161162208 71442322324416