Search a number
-
+
454500110010240 = 27325729213403477
BaseRepresentation
bin110011101010111011000110…
…1100110111000011110000000
32012121020210020010022220010200
41213111312031212320132000
5434033012211130311430
64250350245035325200
7164506356264332640
oct14725661546703600
92177223203286120
10454500110010240
111218aa4613420a8
1242b851bb2b0800
131667b23a924128
148033ccbc50520
1537828ce35c460
hex19d5d8d9b8780

454500110010240 has 576 divisors, whose sum is σ = 1857635196262560. Its totient is φ = 100303465070592.

The previous prime is 454500110010239. The next prime is 454500110010241. The reversal of 454500110010240 is 42010011005454.

454500110010240 is a `hidden beast` number, since 4 + 5 + 4 + 500 + 1 + 10 + 0 + 102 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (454500110010239) and next prime (454500110010241).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454500110010241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27207382 + ... + 40610858.

Almost surely, 2454500110010240 is an apocalyptic number.

454500110010240 is a gapful number since it is divisible by the number (40) 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 454500110010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928817598131280).

454500110010240 is an abundant number, since it is smaller than the sum of its proper divisors (1403135086252320).

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

454500110010240 is a wasteful number, since it uses less digits than its factorization.

454500110010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13403567 (or 13403523 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 454500110010240 its reverse (42010011005454), we get a palindrome (496510121015694).

The spelling of 454500110010240 in words is "four hundred fifty-four trillion, five hundred billion, one hundred ten million, ten thousand, two hundred forty".