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132215314040000 = 265429656917351
BaseRepresentation
bin11110000011111111000110…
…110100111100010011000000
3122100010122211120012122210222
4132003333012310330103000
5114312203430343240000
61145110513214042212
736564145510306502
oct3603770664742300
9570118746178728
10132215314040000
1139145221a25114
12129b42691a9368
1358a0b09a59c49
14249138093dd72
151044355193a85
hex783fc6d3c4c0

132215314040000 has 280 divisors, whose sum is σ = 339227395610400. Its totient is φ = 51051750400000.

The previous prime is 132215314039981. The next prime is 132215314040081. The reversal of 132215314040000 is 40413512231.

It is a happy number.

It is a super-2 number, since 2×1322153140400002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7620031325 + ... + 7620048675.

Almost surely, 2132215314040000 is an apocalyptic number.

132215314040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132215314040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169613697805200).

132215314040000 is an abundant number, since it is smaller than the sum of its proper divisors (207012081570400).

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

132215314040000 is an equidigital number, since it uses as much as digits as its factorization.

132215314040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23981 (or 23956 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 132215314040000 its reverse (40413512231), we get a palindrome (132255727552231).

The spelling of 132215314040000 in words is "one hundred thirty-two trillion, two hundred fifteen billion, three hundred fourteen million, forty thousand".