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142461236662416 = 24347217131961337
BaseRepresentation
bin100000011001000101010111…
…011001111101000010010000
3200200102011100112020112020000
4200121011113121331002100
5122133041103041144131
61222553442202250000
742002325151525500
oct4031052731750220
9620364315215200
10142461236662416
1141435520159241
1213b89b37ab6900
136165063300099
142727236b47a00
151170b24e93ce6
hex81915767d090

142461236662416 has 300 divisors, whose sum is σ = 507856640287788. Its totient is φ = 38308903686144.

The previous prime is 142461236662351. The next prime is 142461236662457. The reversal of 142461236662416 is 614266632164241.

It can be written as a sum of positive squares in 2 ways, for example, as 61421703840000 + 81039532822416 = 7837200^2 + 9002196^2 .

It is a super-2 number, since 2×1424612366624162 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64901101 + ... + 67060236.

Almost surely, 2142461236662416 is an apocalyptic number.

142461236662416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142461236662416 is an abundant number, since it is smaller than the sum of its proper divisors (365395403625372).

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

142461236662416 is a wasteful number, since it uses less digits than its factorization.

142461236662416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131961388 (or 131961366 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 142461236662416 in words is "one hundred forty-two trillion, four hundred sixty-one billion, two hundred thirty-six million, six hundred sixty-two thousand, four hundred sixteen".