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141241313400 = 2335211311574397
BaseRepresentation
bin1000001110001010100…
…0110110100001111000
3111111120100110010121120
42003202220312201320
54303230234012100
6144515123305240
713130043232545
oct2034250664170
9444510403546
10141241313400
115499a048290
122345951b220
131041babca75
146b9c433bcc
153a19bbd0a0
hex20e2a36878

141241313400 has 384 divisors, whose sum is σ = 496313948160. Its totient is φ = 32917248000.

The previous prime is 141241313329. The next prime is 141241313407. The reversal of 141241313400 is 4313142141.

It is a super-2 number, since 2×1412413134002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141241313407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32120002 + ... + 32124398.

It is an arithmetic number, because the mean of its divisors is an integer number (1292484240).

Almost surely, 2141241313400 is an apocalyptic number.

141241313400 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 141241313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248156974080).

141241313400 is an abundant number, since it is smaller than the sum of its proper divisors (355072634760).

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

141241313400 is a wasteful number, since it uses less digits than its factorization.

141241313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 141241313400 its reverse (4313142141), we get a palindrome (145554455541).

The spelling of 141241313400 in words is "one hundred forty-one billion, two hundred forty-one million, three hundred thirteen thousand, four hundred".