Search a number
-
+
454212247104 = 263272113107113
BaseRepresentation
bin1101001110000010010…
…10001101111001000000
31121102101211110212100200
412213001022031321000
524420211313401404
6544355012445200
744546542253400
oct6470112157100
91542354425320
10454212247104
111656a2a77000
1274042919800
1333aa7c84375
1417dac0d6800
15bc35e8b839
hex69c128de40

454212247104 has 1008 divisors, whose sum is σ = 1696256842176. Its totient is φ = 115840327680.

The previous prime is 454212247081. The next prime is 454212247189. The reversal of 454212247104 is 401742212454.

454212247104 is a `hidden beast` number, since 4 + 5 + 421 + 224 + 7 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4019577352 + ... + 4019577464.

Almost surely, 2454212247104 is an apocalyptic number.

454212247104 is a gapful number since it is divisible by the number (44) 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 454212247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848128421088).

454212247104 is an abundant number, since it is smaller than the sum of its proper divisors (1242044595072).

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

454212247104 is a wasteful number, since it uses less digits than its factorization.

454212247104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 454212247104 its reverse (401742212454), we get a palindrome (855954459558).

The spelling of 454212247104 in words is "four hundred fifty-four billion, two hundred twelve million, two hundred forty-seven thousand, one hundred four".