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132340001231016 = 233273221311377697
BaseRepresentation
bin11110000101110011001110…
…110000110101000010101000
3122100120120200020011020121200
4132011303032300311002220
5114321224310303343031
61145244053545204200
736606151413041025
oct3605631660650250
9570516606136550
10132340001231016
1139193096664217
1212a14466790660
1358ac7bb03bb07
14249740c59c54c
1510477018b18e6
hex785ccec350a8

132340001231016 has 96 divisors (see below), whose sum is σ = 363494923257960. Its totient is φ = 43489377017856.

The previous prime is 132340001231003. The next prime is 132340001231017. The reversal of 132340001231016 is 610132100043231.

It is a happy number.

132340001231016 is a `hidden beast` number, since 1 + 3 + 2 + 340 + 0 + 0 + 1 + 2 + 310 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130448149532100 + 1891851698916 = 11421390^2 + 1375446^2 .

It is not an unprimeable number, because it can be changed into a prime (132340001231017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5942680 + ... + 17320376.

Almost surely, 2132340001231016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132340001231016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181747461628980).

132340001231016 is an abundant number, since it is smaller than the sum of its proper divisors (231154922026944).

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

132340001231016 is a wasteful number, since it uses less digits than its factorization.

132340001231016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11379995 (or 11379988 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132340001231016 its reverse (610132100043231), we get a palindrome (742472101274247).

The spelling of 132340001231016 in words is "one hundred thirty-two trillion, three hundred forty billion, one million, two hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2213 2628 4426 5256 6639 8852 13278 17704 19917 26556 39834 53112 79668 159336 161549 323098 484647 646196 969294 1292392 1453941 1938588 2907882 3877176 5815764 11377697 11631528 22755394 34133091 45510788 68266182 91021576 102399273 136532364 204798546 273064728 409597092 819194184 830571881 1661143762 2491715643 3322287524 4983431286 6644575048 7475146929 9966862572 14950293858 19933725144 25178843461 29900587716 50357686922 59801175432 75536530383 100715373844 151073060766 201430747688 226609591149 302146121532 453219182298 604292243064 906438364596 1812876729192 1838055572653 3676111145306 5514166717959 7352222290612 11028333435918 14704444581224 16542500153877 22056666871836 33085000307754 44113333743672 66170000615508 132340001231016