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142466355304153 = 5321971132122741
BaseRepresentation
bin100000011001001010001000…
…100000000001011011011001
3200200102122120020212110122121
4200121022020200001123121
5122133132043424213103
61223000050132421241
742002566044336316
oct4031121040013331
9620378506773577
10142466355304153
114143770752a571
1213b8ab26177821
13616569a8cb58a
1427275a088dd0d
151170d245336bd
hex8192888016d9

142466355304153 has 24 divisors (see below), whose sum is σ = 145961508807576. Its totient is φ = 139050377356800.

The previous prime is 142466355304151. The next prime is 142466355304199. The reversal of 142466355304153 is 351403553664241.

It can be written as a sum of positive squares in 12 ways, for example, as 16025033784384 + 126441321519769 = 4003128^2 + 11244613^2 .

It is not a de Polignac number, because 142466355304153 - 21 = 142466355304151 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 142466355304153.

It is not an unprimeable number, because it can be changed into a prime (142466355304151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6264724363 + ... + 6264747103.

It is an arithmetic number, because the mean of its divisors is an integer number (6081729533649).

Almost surely, 2142466355304153 is an apocalyptic number.

It is an amenable number.

142466355304153 is a deficient number, since it is larger than the sum of its proper divisors (3495153503423).

142466355304153 is a wasteful number, since it uses less digits than its factorization.

142466355304153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34365 (or 34312 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 52.

The spelling of 142466355304153 in words is "one hundred forty-two trillion, four hundred sixty-six billion, three hundred fifty-five million, three hundred four thousand, one hundred fifty-three".

Divisors: 1 53 197 2809 10441 11321 22741 553373 600013 1205273 2230237 4479977 31800689 63879469 118202561 237438781 257450861 6264735733 12584255393 13644895633 50717819617 723179468549 2688044439701 142466355304153