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142488179664 = 24322713077109
BaseRepresentation
bin1000010010110011110…
…1010001001111010000
3111121210020122111120120
42010230331101033100
54313303433222124
6145242544110240
713202663354265
oct2045475211720
9447706574516
10142488179664
1155479954376
1223747005380
131058a21315c
146c79c8326c
153a8e3b4d79
hex212cf513d0

142488179664 has 40 divisors (see below), whose sum is σ = 369716053920. Its totient is φ = 47286822528.

The previous prime is 142488179653. The next prime is 142488179677. The reversal of 142488179664 is 466971884241.

It is a junction number, because it is equal to n+sod(n) for n = 142488179598 and 142488179607.

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 7 ways as a sum of consecutive naturals, for example, 6527659 + ... + 6549450.

It is an arithmetic number, because the mean of its divisors is an integer number (9242901348).

Almost surely, 2142488179664 is an apocalyptic number.

It is an amenable number.

142488179664 is an abundant number, since it is smaller than the sum of its proper divisors (227227874256).

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

142488179664 is a wasteful number, since it uses less digits than its factorization.

142488179664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13077347 (or 13077341 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 142488179664 in words is "one hundred forty-two billion, four hundred eighty-eight million, one hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 454 681 908 1362 1816 2724 3632 5448 10896 13077109 26154218 39231327 52308436 78462654 104616872 156925308 209233744 313850616 627701232 2968503743 5937007486 8905511229 11874014972 17811022458 23748029944 35622044916 47496059888 71244089832 142488179664