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142434334440 = 23335131883643
BaseRepresentation
bin1000010010100110111…
…1110111011011101000
3111121122111022212211000
42010221233313123220
54313201142200230
6145233342035000
713201440603156
oct2045157673350
9447574285730
10142434334440
1155451517692
1223730b78a60
131057c00c788
146c72a683d6
153a897cab60
hex2129bf76e8

142434334440 has 64 divisors (see below), whose sum is σ = 474781118400. Its totient is φ = 37982488896.

The previous prime is 142434334433. The next prime is 142434334451. The reversal of 142434334440 is 44433434241.

142434334440 is a `hidden beast` number, since 142 + 4 + 3 + 43 + 34 + 440 = 666.

It is a super-2 number, since 2×1424343344402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 142434334395 and 142434334404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65940742 + ... + 65942901.

It is an arithmetic number, because the mean of its divisors is an integer number (7418454975).

Almost surely, 2142434334440 is an apocalyptic number.

142434334440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142434334440 is an abundant number, since it is smaller than the sum of its proper divisors (332346783960).

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

142434334440 is a wasteful number, since it uses less digits than its factorization.

142434334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131883663 (or 131883653 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 142434334440 its reverse (44433434241), we get a palindrome (186867768681).

The spelling of 142434334440 in words is "one hundred forty-two billion, four hundred thirty-four million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 131883643 263767286 395650929 527534572 659418215 791301858 1055069144 1186952787 1318836430 1582603716 1978254645 2373905574 2637672860 3165207432 3560858361 3956509290 4747811148 5275345720 5934763935 7121716722 7913018580 9495622296 11869527870 14243433444 15826037160 17804291805 23739055740 28486866888 35608583610 47478111480 71217167220 142434334440