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142141505737452 = 223134752139439437
BaseRepresentation
bin100000010100011011100101…
…111101010001001011101100
3200122021121001221002122210020
4200110123211331101023230
5122112321300432044302
61222150523431042140
741640246006515424
oct4024334575211354
9618247057078706
10142141505737452
1141321968404a91
1213b37b86810350
136140b6a787660
142715985363484
1511676604b9ebc
hex8146e5f512ec

142141505737452 has 192 divisors, whose sum is σ = 365607155257344. Its totient is φ = 42707776849920.

The previous prime is 142141505737379. The next prime is 142141505737459. The reversal of 142141505737452 is 254737505141241.

It is a junction number, because it is equal to n+sod(n) for n = 142141505737395 and 142141505737404.

It is not an unprimeable number, because it can be changed into a prime (142141505737459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15062144878 + ... + 15062154314.

It is an arithmetic number, because the mean of its divisors is an integer number (1904203933632).

Almost surely, 2142141505737452 is an apocalyptic number.

142141505737452 is a gapful number since it is divisible by the number (12) 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 142141505737452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182803577628672).

142141505737452 is an abundant number, since it is smaller than the sum of its proper divisors (223465649519892).

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

142141505737452 is a wasteful number, since it uses less digits than its factorization.

142141505737452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 51.

The spelling of 142141505737452 in words is "one hundred forty-two trillion, one hundred forty-one billion, five hundred five million, seven hundred thirty-seven thousand, four hundred fifty-two".