Search a number
-
+
142246775272000 = 265373377537451
BaseRepresentation
bin100000010101111101101000…
…100000101011001001000000
3200122122122210100022002111011
4200111331220200223021000
5122121032343432201000
61222311133314330304
741650663461013420
oct4025755040531100
9618578710262434
10142246775272000
1141362578303413
1213b54465289994
13614aa75c17979
14271aad01a8480
15116a27214d2ba
hex815f6882b240

142246775272000 has 224 divisors, whose sum is σ = 403793725360896. Its totient is φ = 48625597440000.

The previous prime is 142246775271961. The next prime is 142246775272039. The reversal of 142246775272000 is 272577642241.

It is an interprime number because it is at equal distance from previous prime (142246775271961) and next prime (142246775272039).

It is a tau number, because it is divible by the number of its divisors (224).

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, 15103275 + ... + 22640725.

Almost surely, 2142246775272000 is an apocalyptic number.

142246775272000 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 142246775272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201896862680448).

142246775272000 is an abundant number, since it is smaller than the sum of its proper divisors (261546950088896).

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

142246775272000 is an equidigital number, since it uses as much as digits as its factorization.

142246775272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7537822 (or 7537802 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 49.

The spelling of 142246775272000 in words is "one hundred forty-two trillion, two hundred forty-six billion, seven hundred seventy-five million, two hundred seventy-two thousand".