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142139999440640 = 2852334931814349
BaseRepresentation
bin100000010100011010001100…
…001011001100111100000000
3200122021110011221201212000102
4200110122030023030330000
5122112310204324100030
61222150114141541532
741640163456303505
oct4024321413147400
9618243157655012
10142139999440640
1141321265113993
1213b378262748a8
13614098a69c276
1427158812a14ac
1511675c3129c45
hex81468c2ccf00

142139999440640 has 288 divisors, whose sum is σ = 356484678480000. Its totient is φ = 54198658990080.

The previous prime is 142139999440631. The next prime is 142139999440661. The reversal of 142139999440640 is 46044999931241.

142139999440640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32683373186 + ... + 32683377534.

It is an arithmetic number, because the mean of its divisors is an integer number (1237794022500).

Almost surely, 2142139999440640 is an apocalyptic number.

142139999440640 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 142139999440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178242339240000).

142139999440640 is an abundant number, since it is smaller than the sum of its proper divisors (214344679039360).

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

142139999440640 is a wasteful number, since it uses less digits than its factorization.

142139999440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7923 (or 7909 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 65.

The spelling of 142139999440640 in words is "one hundred forty-two trillion, one hundred thirty-nine billion, nine hundred ninety-nine million, four hundred forty thousand, six hundred forty".