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142424251430256 = 24321723957373241
BaseRepresentation
bin100000011000100010111010…
…111010011111010101110000
3200200021121212222000001201200
4200120202322322133111300
5122131434331331232011
61222524444200331200
741666545502325345
oct4030427272372560
9620247788001650
10142424251430256
1141420870a37974
1213b82935773b00
13616171aa02b23
142725528b087cc
15116ebacebb856
hex8188bae9f570

142424251430256 has 60 divisors (see below), whose sum is σ = 398613220908240. Its totient is φ = 47471995733760.

The previous prime is 142424251430243. The next prime is 142424251430273. The reversal of 142424251430256 is 652034152424241.

142424251430256 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 242 + 51 + 4 + 302 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26204205 + ... + 31169036.

It is an arithmetic number, because the mean of its divisors is an integer number (6643553681804).

Almost surely, 2142424251430256 is an apocalyptic number.

142424251430256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142424251430256 is an abundant number, since it is smaller than the sum of its proper divisors (256188969477984).

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

142424251430256 is a wasteful number, since it uses less digits than its factorization.

142424251430256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57390494 (or 57390485 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 142424251430256 in words is "one hundred forty-two trillion, four hundred twenty-four billion, two hundred fifty-one million, four hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 17239 34478 51717 68956 103434 137912 155151 206868 275824 310302 413736 620604 827472 1241208 2482416 57373241 114746482 172119723 229492964 344239446 458985928 516359169 688478892 917971856 1032718338 1376957784 2065436676 2753915568 4130873352 8261746704 989057301599 1978114603198 2967171904797 3956229206396 5934343809594 7912458412792 8901515714391 11868687619188 15824916825584 17803031428782 23737375238376 35606062857564 47474750476752 71212125715128 142424251430256