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142323516400005 = 32510929016007421
BaseRepresentation
bin100000010111000101000110…
…101000110110000110000101
3200122220222212120021022112100
4200113011012220312012011
5122123312030144300010
61222410304255142313
741656351261566453
oct4027050650660605
9618828776238470
10142323516400005
1141392078706756
1213b67301814999
136155085b3a555
1427206d01d19d3
15116c2644902c0
hex817146a36185

142323516400005 has 24 divisors (see below), whose sum is σ = 248957343680760. Its totient is φ = 75209491232640.

The previous prime is 142323516399913. The next prime is 142323516400069. The reversal of 142323516400005 is 500004615323241.

142323516400005 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 3 + 5 + 1 + 640 + 0 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44556786457569 + 97766729942436 = 6675087^2 + 9887706^2 .

It is not a de Polignac number, because 142323516400005 - 215 = 142323516367237 is a prime.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14507998806 + ... + 14508008615.

It is an arithmetic number, because the mean of its divisors is an integer number (10373222653365).

Almost surely, 2142323516400005 is an apocalyptic number.

142323516400005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142323516400005 is a deficient number, since it is larger than the sum of its proper divisors (106633827280755).

142323516400005 is a wasteful number, since it uses less digits than its factorization.

142323516400005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29016007541 (or 29016007538 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 142323516400005 in words is "one hundred forty-two trillion, three hundred twenty-three billion, five hundred sixteen million, four hundred thousand, five".

Divisors: 1 3 5 9 15 45 109 327 545 981 1635 4905 29016007421 87048022263 145080037105 261144066789 435240111315 1305720333945 3162744808889 9488234426667 15813724044445 28464703280001 47441172133335 142323516400005