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142431433004240 = 24512460114288753
BaseRepresentation
bin100000011000101001100110…
…111110000001010011010000
3200200022022102110101211012022
4200120221212332001103100
5122132044033322113430
61222532032542351012
742000221454600002
oct4030514676012320
9620268373354168
10142431433004240
1141423916829786
1213b841ba88b468
1361622c38111a3
142725a0a80c372
15116ee7d7004e5
hex818a66f814d0

142431433004240 has 40 divisors (see below), whose sum is σ = 331155762618888. Its totient is φ = 56972111974400.

The previous prime is 142431433004239. The next prime is 142431433004281. The reversal of 142431433004240 is 42400334134241.

It can be written as a sum of positive squares in 4 ways, for example, as 28227671472784 + 114203761531456 = 5312972^2 + 10686616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 142431433004240.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 2823704 + ... + 17112456.

Almost surely, 2142431433004240 is an apocalyptic number.

142431433004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142431433004240 is an abundant number, since it is smaller than the sum of its proper divisors (188724329614648).

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

142431433004240 is a wasteful number, since it uses less digits than its factorization.

142431433004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413367 (or 14413361 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 142431433004240 its reverse (42400334134241), we get a palindrome (184831767138481).

The spelling of 142431433004240 in words is "one hundred forty-two trillion, four hundred thirty-one billion, four hundred thirty-three million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 124601 249202 498404 623005 996808 1246010 1993616 2492020 4984040 9968080 14288753 28577506 57155012 71443765 114310024 142887530 228620048 285775060 571550120 1143100240 1780392912553 3560785825106 7121571650212 8901964562765 14243143300424 17803929125530 28486286600848 35607858251060 71215716502120 142431433004240