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142340145632010 = 2335760016936563
BaseRepresentation
bin100000010111010100100101…
…110100010101001100001010
3200122222120210111002211101000
4200113110211310111030022
5122124100104240211020
61222422054333235430
741660510333665434
oct4027244564251412
9618876714084330
10142340145632010
11413991314558a7
1213b6a582932b76
1361568060858c1
14272142a959654
15116c8d932a090
hex817525d1530a

142340145632010 has 64 divisors (see below), whose sum is σ = 379578770732160. Its totient is φ = 37956867264000.

The previous prime is 142340145631987. The next prime is 142340145632011. The reversal of 142340145632010 is 10236541043241.

142340145632010 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 4 + 0 + 1 + 4 + 5 + 632 + 0 + 10 = 666.

142340145632010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142340145632011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17051989 + ... + 23988551.

It is an arithmetic number, because the mean of its divisors is an integer number (5930918292690).

Almost surely, 2142340145632010 is an apocalyptic number.

142340145632010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142340145632010 is an abundant number, since it is smaller than the sum of its proper divisors (237238625100150).

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

142340145632010 is a wasteful number, since it uses less digits than its factorization.

142340145632010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012580 (or 7012574 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 142340145632010 its reverse (10236541043241), we get a palindrome (152576686675251).

The spelling of 142340145632010 in words is "one hundred forty-two trillion, three hundred forty billion, one hundred forty-five million, six hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 76001 152002 228003 380005 456006 684009 760010 1140015 1368018 2052027 2280030 3420045 4104054 6840090 6936563 10260135 13873126 20520270 20809689 34682815 41619378 62429067 69365630 104048445 124858134 187287201 208096890 312145335 374574402 624290670 936436005 1872872010 527185724563 1054371449126 1581557173689 2635928622815 3163114347378 4744671521067 5271857245630 7907785868445 9489343042134 14234014563201 15815571736890 23723357605335 28468029126402 47446715210670 71170072816005 142340145632010