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10142411361336 = 2332463304248001
BaseRepresentation
bin1001001110010111011011…
…0100111000110000111000
31022220121100002022222110200
42103211312310320300320
52312133124302030321
633323205350442200
72064523260056502
oct223456664706070
938817302288420
1010142411361336
11326041088a671
121179801063360
1358756b483537
14270c76ad6d72
15128c626d1d26
hex93976d38c38

10142411361336 has 48 divisors (see below), whose sum is σ = 27528359220960. Its totient is φ = 3373501824000.

The previous prime is 10142411361319. The next prime is 10142411361343. The reversal of 10142411361336 is 63316311424101.

10142411361336 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 4 + 1 + 1 + 3 + 613 + 36 = 666.

10142411361336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10142411361336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152090665 + ... + 152157336.

It is an arithmetic number, because the mean of its divisors is an integer number (573507483770).

Almost surely, 210142411361336 is an apocalyptic number.

It is an amenable number.

10142411361336 is an abundant number, since it is smaller than the sum of its proper divisors (17385947859624).

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

10142411361336 is a wasteful number, since it uses less digits than its factorization.

10142411361336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304248476 (or 304248469 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 10142411361336 its reverse (63316311424101), we get a palindrome (73458722785437).

The spelling of 10142411361336 in words is "ten trillion, one hundred forty-two billion, four hundred eleven million, three hundred sixty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 463 926 1389 1852 2778 3704 4167 5556 8334 11112 16668 33336 304248001 608496002 912744003 1216992004 1825488006 2433984008 2738232009 3650976012 5476464018 7301952024 10952928036 21905856072 140866824463 281733648926 422600473389 563467297852 845200946778 1126934595704 1267801420167 1690401893556 2535602840334 3380803787112 5071205680668 10142411361336