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114383364480 = 273257112311213
BaseRepresentation
bin110101010000111000…
…1111010000110000000
3101221020120110222000200
41222201301322012000
53333224120130410
6124314052245200
711156345361510
oct1524161720600
9357216428020
10114383364480
1144567477790
121a202910800
13aa2b686cb8
14577140b840
152e96d473c0
hex1aa1c7a180

114383364480 has 768 divisors, whose sum is σ = 513899043840. Its totient is φ = 22732554240.

The previous prime is 114383364461. The next prime is 114383364497. The reversal of 114383364480 is 84463383411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10195354 + ... + 10206566.

It is an arithmetic number, because the mean of its divisors is an integer number (669139380).

Almost surely, 2114383364480 is an apocalyptic number.

114383364480 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 114383364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256949521920).

114383364480 is an abundant number, since it is smaller than the sum of its proper divisors (399515679360).

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

114383364480 is a wasteful number, since it uses less digits than its factorization.

114383364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11279 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 114383364480 in words is "one hundred fourteen billion, three hundred eighty-three million, three hundred sixty-four thousand, four hundred eighty".