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132215212230240 = 25354717944373907
BaseRepresentation
bin11110000011111111000000…
…110000100100011001100000
3122100010122120110122012002010
4132003333000300210121200
5114312203223312331430
61145110455135552520
736564143133036156
oct3603770060443140
9570118513565063
10132215212230240
113914517a507a17
12129b423b08b740
1358a0ac1931799
1424913711db3d6
15104434b282cb0
hex783fc0c24660

132215212230240 has 384 divisors, whose sum is σ = 428686644879360. Its totient is φ = 34236532348928.

The previous prime is 132215212230161. The next prime is 132215212230271. The reversal of 132215212230240 is 42032212512231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132215212230198 and 132215212230207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1788903367 + ... + 1788977273.

It is an arithmetic number, because the mean of its divisors is an integer number (1116371471040).

Almost surely, 2132215212230240 is an apocalyptic number.

132215212230240 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 132215212230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214343322439680).

132215212230240 is an abundant number, since it is smaller than the sum of its proper divisors (296471432649120).

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

132215212230240 is a wasteful number, since it uses less digits than its factorization.

132215212230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74594 (or 74586 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 132215212230240 its reverse (42032212512231), we get a palindrome (174247424742471).

The spelling of 132215212230240 in words is "one hundred thirty-two trillion, two hundred fifteen billion, two hundred twelve million, two hundred thirty thousand, two hundred forty".