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142536400140 = 22356653357073
BaseRepresentation
bin1000010010111111010…
…1001101110100001100
3111121220121101100122010
42010233311031310030
54313403304301030
6145251425421220
713204120260621
oct2045765156414
9447817340563
10142536400140
11554a409a102
122375b19a810
13105971c7594
146c82436348
153a9373c6b0
hex212fd4dd0c

142536400140 has 48 divisors (see below), whose sum is σ = 399163026528. Its totient is φ = 38003887104.

The previous prime is 142536400099. The next prime is 142536400163. The reversal of 142536400140 is 41004635241.

142536400140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142536400098 and 142536400107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220644 + ... + 577716.

It is an arithmetic number, because the mean of its divisors is an integer number (8315896386).

Almost surely, 2142536400140 is an apocalyptic number.

142536400140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142536400140 is an abundant number, since it is smaller than the sum of its proper divisors (256626626388).

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

142536400140 is a wasteful number, since it uses less digits than its factorization.

142536400140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363738 (or 363736 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 142536400140 in words is "one hundred forty-two billion, five hundred thirty-six million, four hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6653 13306 19959 26612 33265 39918 66530 79836 99795 133060 199590 357073 399180 714146 1071219 1428292 1785365 2142438 3570730 4284876 5356095 7141460 10712190 21424380 2375606669 4751213338 7126820007 9502426676 11878033345 14253640014 23756066690 28507280028 35634100035 47512133380 71268200070 142536400140