Search a number
-
+
241240794480 = 243357219119963
BaseRepresentation
bin1110000010101100010…
…0100110010101110000
3212001200111010010001000
43200223010212111300
512423030120410410
6302454031242000
723300112630300
oct3405304462560
9761614103030
10241240794480
1193345159524
123a907079300
131999747a24a
14b96739b600
15641dd53dc0
hex382b126570

241240794480 has 480 divisors, whose sum is σ = 1017486662400. Its totient is φ = 52238172672.

The previous prime is 241240794469. The next prime is 241240794527. The reversal of 241240794480 is 84497042142.

241240794480 is a `hidden beast` number, since 2 + 41 + 2 + 40 + 7 + 94 + 480 = 666.

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, 1950979 + ... + 2070941.

It is an arithmetic number, because the mean of its divisors is an integer number (2119763880).

Almost surely, 2241240794480 is an apocalyptic number.

241240794480 is a gapful number since it is divisible by the number (20) 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 241240794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508743331200).

241240794480 is an abundant number, since it is smaller than the sum of its proper divisors (776245867920).

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

241240794480 is a wasteful number, since it uses less digits than its factorization.

241240794480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120018 (or 119999 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 241240794480 in words is "two hundred forty-one billion, two hundred forty million, seven hundred ninety-four thousand, four hundred eighty".