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140382115200 = 27335279131157
BaseRepresentation
bin1000001010111101101…
…1010001010110000000
3111102100110201100021000
42002233123101112000
54300000310141300
6144253551532000
713066541201535
oct2025733212600
9442313640230
10140382115200
1154599053a28
122325982a000
1310312ab0b72
146b1a298d8c
1539b9550c00
hex20af6d1580

140382115200 has 768 divisors, whose sum is σ = 527573376000. Its totient is φ = 36445593600.

The previous prime is 140382115183. The next prime is 140382115219. The reversal of 140382115200 is 2511283041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894153522 + ... + 894153678.

It is an arithmetic number, because the mean of its divisors is an integer number (686944500).

Almost surely, 2140382115200 is an apocalyptic number.

140382115200 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 140382115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263786688000).

140382115200 is an abundant number, since it is smaller than the sum of its proper divisors (387191260800).

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

140382115200 is a wasteful number, since it uses less digits than its factorization.

140382115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 140382115200 its reverse (2511283041), we get a palindrome (142893398241).

The spelling of 140382115200 in words is "one hundred forty billion, three hundred eighty-two million, one hundred fifteen thousand, two hundred".