Search a number
-
+
142480885725360 = 24355713174737727
BaseRepresentation
bin100000011001010111101010…
…100101001011100010110000
3200200111001001220102100100000
4200121113222211023202300
5122133401323221202420
61223010452034030000
742003622113023340
oct4031275245134260
9620431056370300
10142480885725360
1141442893583036
1213b91900418300
136166b75084150
14272817c59ad20
1511713c4edd690
hex8195ea94b8b0

142480885725360 has 960 divisors, whose sum is σ = 646658483208192. Its totient is φ = 28293548064768.

The previous prime is 142480885725359. The next prime is 142480885725361. The reversal of 142480885725360 is 63527588084241.

142480885725360 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 8 + 0 + 8 + 8 + 572 + 53 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142480885725359) and next prime (142480885725361).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (142480885725361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27704817 + ... + 32442543.

Almost surely, 2142480885725360 is an apocalyptic number.

142480885725360 is a gapful number since it is divisible by the number (10) 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 142480885725360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323329241604096).

142480885725360 is an abundant number, since it is smaller than the sum of its proper divisors (504177597482832).

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

142480885725360 is a wasteful number, since it uses less digits than its factorization.

142480885725360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737792 (or 4737774 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 142480885725360 in words is "one hundred forty-two trillion, four hundred eighty billion, eight hundred eighty-five million, seven hundred twenty-five thousand, three hundred sixty".