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142141401312 = 2534334433479
BaseRepresentation
bin1000010001100001001…
…0011010100011100000
3111120220002010100002220
42010120102122203200
54312101144320222
6145144315311040
713161252655551
oct2043022324340
9446802110086
10142141401312
115531112a699
122366aa4b480
1310533417471
146c45bb4328
153a6dc15b5c
hex211849a8e0

142141401312 has 48 divisors (see below), whose sum is σ = 381798426240. Its totient is φ = 46278594432.

The previous prime is 142141401271. The next prime is 142141401323. The reversal of 142141401312 is 213104141241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17212612 + ... + 17220867.

It is an arithmetic number, because the mean of its divisors is an integer number (7954133880).

Almost surely, 2142141401312 is an apocalyptic number.

142141401312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142141401312 is an abundant number, since it is smaller than the sum of its proper divisors (239657024928).

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

142141401312 is a wasteful number, since it uses less digits than its factorization.

142141401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34433535 (or 34433527 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 142141401312 its reverse (213104141241), we get a palindrome (355245542553).

The spelling of 142141401312 in words is "one hundred forty-two billion, one hundred forty-one million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 34433479 68866958 103300437 137733916 206600874 275467832 413201748 550935664 826403496 1101871328 1480639597 1652806992 2961279194 3305613984 4441918791 5922558388 8883837582 11845116776 17767675164 23690233552 35535350328 47380467104 71070700656 142141401312