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142426007280 = 24325197813899
BaseRepresentation
bin1000010010100101000…
…0000110011011110000
3111121121220122211002200
42010221100012123300
54313142024213110
6145232443343200
713201310041554
oct2045120063360
9447556584080
10142426007280
115544784a337
122372a221b00
131057a38546b
146c718db864
153a88bd36c0
hex21294066f0

142426007280 has 60 divisors (see below), whose sum is σ = 478314010200. Its totient is φ = 37980268416.

The previous prime is 142426007279. The next prime is 142426007333. The reversal of 142426007280 is 82700624241.

142426007280 is a `hidden beast` number, since 1 + 4 + 2 + 42 + 600 + 7 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×1424260072803 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98906230 + ... + 98907669.

It is an arithmetic number, because the mean of its divisors is an integer number (7971900170).

Almost surely, 2142426007280 is an apocalyptic number.

142426007280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142426007280 is an abundant number, since it is smaller than the sum of its proper divisors (335888002920).

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

142426007280 is a wasteful number, since it uses less digits than its factorization.

142426007280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197813918 (or 197813909 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 142426007280 in words is "one hundred forty-two billion, four hundred twenty-six million, seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 197813899 395627798 593441697 791255596 989069495 1186883394 1582511192 1780325091 1978138990 2373766788 2967208485 3165022384 3560650182 3956277980 4747533576 5934416970 7121300364 7912555960 8901625455 9495067152 11868833940 14242600728 15825111920 17803250910 23737667880 28485201456 35606501820 47475335760 71213003640 142426007280