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142424430132144 = 24317296018611821
BaseRepresentation
bin100000011000100011000101…
…100100001011101110110000
3200200021122100102021001122010
4200120203011210023232300
5122131440213103212034
61222524514022442520
741666553102266166
oct4030430544135660
9620248312231563
10142424430132144
11414209528a3286
1213b82985593440
136161748a40ba4
142725544745236
15116ebbda1a3e9
hex8188c590bbb0

142424430132144 has 80 divisors (see below), whose sum is σ = 403006247601120. Its totient is φ = 43141409525760.

The previous prime is 142424430132113. The next prime is 142424430132151. The reversal of 142424430132144 is 441231034424241.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 3009282247 + ... + 3009329574.

It is an arithmetic number, because the mean of its divisors is an integer number (5037578095014).

Almost surely, 2142424430132144 is an apocalyptic number.

It is an amenable number.

142424430132144 is an abundant number, since it is smaller than the sum of its proper divisors (260581817468976).

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

142424430132144 is a wasteful number, since it uses less digits than its factorization.

142424430132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018611878 (or 6018611872 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 142424430132144 its reverse (441231034424241), we get a palindrome (583655464556385).

The spelling of 142424430132144 in words is "one hundred forty-two trillion, four hundred twenty-four billion, four hundred thirty million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1972 2958 3944 5916 7888 11832 23664 6018611821 12037223642 18055835463 24074447284 36111670926 48148894568 72223341852 96297789136 102316400957 144446683704 174539742809 204632801914 288893367408 306949202871 349079485618 409265603828 523619228427 613898405742 698158971236 818531207656 1047238456854 1227796811484 1396317942472 1637062415312 2094476913708 2455593622968 2792635884944 2967175627753 4188953827416 4911187245936 5934351255506 8377907654832 8901526883259 11868702511012 17803053766518 23737405022024 35606107533036 47474810044048 71212215066072 142424430132144