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142361103456 = 253211134773547
BaseRepresentation
bin1000010010010101100…
…0100000110001100000
3111121110101112100210100
42010211120200301200
54313023420302311
6145222204302400
713166561261565
oct2044530406140
9447411470710
10142361103456
115541414a110
1223710541a00
1310569aac430
146c6704486c
153a83162a56
hex2125620c60

142361103456 has 288 divisors, whose sum is σ = 485741587968. Its totient is φ = 38973496320.

The previous prime is 142361103427. The next prime is 142361103457. The reversal of 142361103456 is 654301163241.

142361103456 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 611 + 0 + 34 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 142361103456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142361103457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1898875 + ... + 1972421.

It is an arithmetic number, because the mean of its divisors is an integer number (1686602736).

Almost surely, 2142361103456 is an apocalyptic number.

142361103456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142361103456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242870793984).

142361103456 is an abundant number, since it is smaller than the sum of its proper divisors (343380484512).

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

142361103456 is a wasteful number, since it uses less digits than its factorization.

142361103456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73634 (or 73623 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 142361103456 its reverse (654301163241), we get a palindrome (796662266697).

The spelling of 142361103456 in words is "one hundred forty-two billion, three hundred sixty-one million, one hundred three thousand, four hundred fifty-six".