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10142411361340 = 2251729830621651
BaseRepresentation
bin1001001110010111011011…
…0100111000110000111100
31022220121100002022222110211
42103211312310320300330
52312133124302030330
633323205350442204
72064523260056506
oct223456664706074
938817302288424
1010142411361340
11326041088a675
121179801063364
1358756b48353b
14270c76ad6d76
15128c626d1d2a
hex93976d38c3c

10142411361340 has 24 divisors (see below), whose sum is σ = 22551949968912. Its totient is φ = 3818319571200.

The previous prime is 10142411361319. The next prime is 10142411361343. The reversal of 10142411361340 is 4316311424101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142411361343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14915310486 + ... + 14915311165.

It is an arithmetic number, because the mean of its divisors is an integer number (939664582038).

Almost surely, 210142411361340 is an apocalyptic number.

10142411361340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142411361340 is an abundant number, since it is smaller than the sum of its proper divisors (12409538607572).

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

10142411361340 is a wasteful number, since it uses less digits than its factorization.

10142411361340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29830621677 (or 29830621675 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 10142411361340 its reverse (4316311424101), we get a palindrome (14458722785441).

The spelling of 10142411361340 in words is "ten trillion, one hundred forty-two billion, four hundred eleven million, three hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 29830621651 59661243302 119322486604 149153108255 298306216510 507120568067 596612433020 1014241136134 2028482272268 2535602840335 5071205680670 10142411361340