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140349427200 = 29325253127181
BaseRepresentation
bin1000001010110101111…
…0100100111000000000
3111102021012012121202100
42002231132210320000
54244413423132300
6144250423150400
713065663306333
oct2025536447000
9442235177670
10140349427200
1154581657a54
122324a8a5400
13103090a7558
146b15bca61a
1539b6745700
hex20ad7a4e00

140349427200 has 720 divisors, whose sum is σ = 518627805696. Its totient is φ = 36229939200.

The previous prime is 140349427193. The next prime is 140349427217. The reversal of 140349427200 is 2724943041.

140349427200 is a `hidden beast` number, since 1 + 40 + 349 + 4 + 272 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 775411110 + ... + 775411290.

Almost surely, 2140349427200 is an apocalyptic number.

140349427200 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 140349427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259313902848).

140349427200 is an abundant number, since it is smaller than the sum of its proper divisors (378278378496).

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

140349427200 is a wasteful number, since it uses less digits than its factorization.

140349427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 140349427200 in words is "one hundred forty billion, three hundred forty-nine million, four hundred twenty-seven thousand, two hundred".