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114544635480 = 23325113239053
BaseRepresentation
bin110101010101101100…
…1000110111001011000
3101221122210221101020200
41222223121012321120
53334041411313410
6124342053022200
711163344223402
oct1525331067130
9357583841220
10114544635480
114463a508000
121a248924960
13aa55c01122
1457889cbb72
152ea60a13c0
hex1aab646e58

114544635480 has 192 divisors, whose sum is σ = 409470815520. Its totient is φ = 27768280320.

The previous prime is 114544635479. The next prime is 114544635487. The reversal of 114544635480 is 84536445411.

114544635480 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 4 + 635 + 4 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114544635487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359634 + ... + 598686.

Almost surely, 2114544635480 is an apocalyptic number.

114544635480 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 114544635480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204735407760).

114544635480 is an abundant number, since it is smaller than the sum of its proper divisors (294926180040).

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

114544635480 is a wasteful number, since it uses less digits than its factorization.

114544635480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239103 (or 239074 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 114544635480 in words is "one hundred fourteen billion, five hundred forty-four million, six hundred thirty-five thousand, four hundred eighty".