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454242242454 = 23721113671311231
BaseRepresentation
bin1101001110000101111…
…00101000111110010110
31121102110220220210020120
412213002330220332112
524420242003224304
6544402003412410
744550355232400
oct6470274507626
91542426823216
10454242242454
111657089a3a50
1274050984106
1333ab12571b0
1417db20a3b70
15bc389140d9
hex69c2f28f96

454242242454 has 384 divisors, whose sum is σ = 1270746537984. Its totient is φ = 106378272000.

The previous prime is 454242242423. The next prime is 454242242513.

454242242454 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 369002019 + ... + 369003249.

It is an arithmetic number, because the mean of its divisors is an integer number (3309235776).

Almost surely, 2454242242454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454242242454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635373268992).

454242242454 is an abundant number, since it is smaller than the sum of its proper divisors (816504295530).

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

454242242454 is a wasteful number, since it uses less digits than its factorization.

454242242454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1465 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 42.

It can be divided in two parts, 454242 and 242454, that added together give a palindrome (696696).

The spelling of 454242242454 in words is "four hundred fifty-four billion, two hundred forty-two million, two hundred forty-two thousand, four hundred fifty-four".