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141311132340 = 223572536114867
BaseRepresentation
bin1000001110011011001…
…1001100001010110100
3111111202012211022012020
42003212303030022310
54303401122213330
6144530055553140
713131551543400
oct2034663141264
9444665738166
10141311132340
1154a254a5294
122347898b7b0
13104303c7051
146ba780a100
153a20db0210
hex20e6ccc2b4

141311132340 has 288 divisors, whose sum is σ = 476674740864. Its totient is φ = 31168650240.

The previous prime is 141311132317. The next prime is 141311132351. The reversal of 141311132340 is 43231113141.

It is a happy number.

It is a super-2 number, since 2×1413111323402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141311132340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9497587 + ... + 9512453.

It is an arithmetic number, because the mean of its divisors is an integer number (1655120628).

Almost surely, 2141311132340 is an apocalyptic number.

141311132340 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 141311132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238337370432).

141311132340 is an abundant number, since it is smaller than the sum of its proper divisors (335363608524).

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

141311132340 is a wasteful number, since it uses less digits than its factorization.

141311132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007 (or 14998 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 141311132340 its reverse (43231113141), we get a palindrome (184542245481).

The spelling of 141311132340 in words is "one hundred forty-one billion, three hundred eleven million, one hundred thirty-two thousand, three hundred forty".