Search a number
-
+
142773752000 = 26531117195023
BaseRepresentation
bin1000010011110111111…
…0101001000011000000
3111122112011000002011202
42010331332221003000
54314400040031000
6145331145000332
713213031603555
oct2047576510300
9448464002152
10142773752000
1155606074070
12238067830a8
131060442bc79
146ca5b7ca2c
153aa94c3dd5
hex213dfa90c0

142773752000 has 448 divisors, whose sum is σ = 429993308160. Its totient is φ = 46282752000.

The previous prime is 142773751921. The next prime is 142773752081. The reversal of 142773752000 is 257377241.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28421489 + ... + 28426511.

Almost surely, 2142773752000 is an apocalyptic number.

142773752000 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 142773752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214996654080).

142773752000 is an abundant number, since it is smaller than the sum of its proper divisors (287219556160).

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

142773752000 is a wasteful number, since it uses less digits than its factorization.

142773752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The spelling of 142773752000 in words is "one hundred forty-two billion, seven hundred seventy-three million, seven hundred fifty-two thousand".