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141115478400 = 2734521341879
BaseRepresentation
bin1000001101101100100…
…0110101000110000000
3111111020120200001110000
42003123020311012000
54303001030302100
6144454430240000
713123654526631
oct2033310650600
9444216601400
10141115478400
1154935010616
1223423356000
13103cba01ca0
146b89839888
153a0db13900
hex20db235180

141115478400 has 480 divisors, whose sum is σ = 560818011600. Its totient is φ = 34735288320.

The previous prime is 141115478377. The next prime is 141115478443. The reversal of 141115478400 is 4874511141.

It is a happy number.

141115478400 is a `hidden beast` number, since 141 + 1 + 1 + 5 + 478 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3348661 + ... + 3390539.

Almost surely, 2141115478400 is an apocalyptic number.

141115478400 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 141115478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280409005800).

141115478400 is an abundant number, since it is smaller than the sum of its proper divisors (419702533200).

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

141115478400 is a wasteful number, since it uses less digits than its factorization.

141115478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41928 (or 41902 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 141115478400 its reverse (4874511141), we get a palindrome (145989989541).

The spelling of 141115478400 in words is "one hundred forty-one billion, one hundred fifteen million, four hundred seventy-eight thousand, four hundred".