Search a number
-
+
11390242106880 = 2932571321125747
BaseRepresentation
bin1010010110111111111101…
…0101011010111000000000
31111022220012120000201101100
42211233333111122320000
52443104203434410010
640120334402134400
72253626550311340
oct245577725327000
944286176021340
1011390242106880
1136a16357a982a
12133b609051400
13648131282a30
142b540d7d8d20
1514b4465ba2c0
hexa5bff55ae00

11390242106880 has 960 divisors, whose sum is σ = 48782900694528. Its totient is φ = 2391733370880.

The previous prime is 11390242106861. The next prime is 11390242106941. The reversal of 11390242106880 is 8860124209311.

11390242106880 is a `hidden beast` number, since 1 + 1 + 3 + 90 + 2 + 421 + 0 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442378167 + ... + 442403913.

Almost surely, 211390242106880 is an apocalyptic number.

11390242106880 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 11390242106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24391450347264).

11390242106880 is an abundant number, since it is smaller than the sum of its proper divisors (37392658587648).

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

11390242106880 is a wasteful number, since it uses less digits than its factorization.

11390242106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26007 (or 25988 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11390242106880 in words is "eleven trillion, three hundred ninety billion, two hundred forty-two million, one hundred six thousand, eight hundred eighty".