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140312142000 = 24335310492477
BaseRepresentation
bin1000001010101101000…
…0010110000010110000
3111102011121001100002000
42002223100112002300
54244324402021000
6144243012054000
713065031346202
oct2025320260260
9442147040060
10140312142000
1154562601038
122323a304300
13103014515c4
146b10c82772
1539b332d000
hex20ab4160b0

140312142000 has 320 divisors, whose sum is σ = 503311536000. Its totient is φ = 37365811200.

The previous prime is 140312141993. The next prime is 140312142023. The reversal of 140312142000 is 241213041.

140312142000 is a `hidden beast` number, since 140 + 312 + 14 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56644762 + ... + 56647238.

It is an arithmetic number, because the mean of its divisors is an integer number (1572848550).

Almost surely, 2140312142000 is an apocalyptic number.

140312142000 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 140312142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251655768000).

140312142000 is an abundant number, since it is smaller than the sum of its proper divisors (362999394000).

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

140312142000 is a wasteful number, since it uses less digits than its factorization.

140312142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 140312142000 its reverse (241213041), we get a palindrome (140553355041).

The spelling of 140312142000 in words is "one hundred forty billion, three hundred twelve million, one hundred forty-two thousand".