Search a number
-
+
142502730554880 = 293353559757917
BaseRepresentation
bin100000011001101100000000…
…101000100101111000000000
3200200120010110022022122221000
4200121230000220211320000
5122134231043010224010
61223024503424332000
742005324336016063
oct4031540050457000
9620503408278830
10142502730554880
11414510833a5853
1213b95b98174000
136168c46a16987
1427292518a88da
151171c52bba7c0
hex819b00a25e00

142502730554880 has 320 divisors, whose sum is σ = 506204533961280. Its totient is φ = 37999004516352.

The previous prime is 142502730554869. The next prime is 142502730554909. The reversal of 142502730554880 is 88455037205241.

It is a happy number.

142502730554880 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 0 + 2 + 7 + 3 + 0 + 554 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2460435682 + ... + 2460493598.

It is an arithmetic number, because the mean of its divisors is an integer number (1581889168629).

Almost surely, 2142502730554880 is an apocalyptic number.

142502730554880 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 142502730554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253102266980640).

142502730554880 is an abundant number, since it is smaller than the sum of its proper divisors (363701803406400).

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

142502730554880 is an equidigital number, since it uses as much as digits as its factorization.

142502730554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93546 (or 93524 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 142502730554880 in words is "one hundred forty-two trillion, five hundred two billion, seven hundred thirty million, five hundred fifty-four thousand, eight hundred eighty".