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114463363776 = 26329832331063
BaseRepresentation
bin110101010011010001…
…1000101001011000000
3101221110011000100102120
41222212203011023000
53333410110120101
6124330031044240
711161336352556
oct1524643051300
9357404010376
10114463363776
11445a8648403
121a225670680
13aa42116c68
14577bcb3bd6
152e9dd9ab36
hex1aa68c52c0

114463363776 has 224 divisors, whose sum is σ = 318729116160. Its totient is φ = 36204650496.

The previous prime is 114463363771. The next prime is 114463363829. The reversal of 114463363776 is 677363364411.

It is not an unprimeable number, because it can be changed into a prime (114463363771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107679021 + ... + 107680083.

It is an arithmetic number, because the mean of its divisors is an integer number (1422897840).

Almost surely, 2114463363776 is an apocalyptic number.

114463363776 is a gapful number since it is divisible by the number (16) 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 114463363776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364558080).

114463363776 is an abundant number, since it is smaller than the sum of its proper divisors (204265752384).

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

114463363776 is a wasteful number, since it uses less digits than its factorization.

114463363776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1413 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 51.

The spelling of 114463363776 in words is "one hundred fourteen billion, four hundred sixty-three million, three hundred sixty-three thousand, seven hundred seventy-six".