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114311104 = 262379983
BaseRepresentation
bin1101101000000…
…11111111000000
321222002121100121
412310003333000
5213230423404
615202030024
72555425345
oct664037700
9258077317
10114311104
1159586696
1232348314
131a8b470b
14112787cc
15a07ee54
hex6d03fc0

114311104 has 56 divisors (see below), whose sum is σ = 239938560. Its totient is φ = 53923584.

The previous prime is 114311101. The next prime is 114311107. The reversal of 114311104 is 401113411.

It is an interprime number because it is at equal distance from previous prime (114311101) and next prime (114311107).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115797 + ... + 116779.

Almost surely, 2114311104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119969280).

114311104 is an abundant number, since it is smaller than the sum of its proper divisors (125627456).

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

114311104 is an equidigital number, since it uses as much as digits as its factorization.

114311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 114311104 is about 10691.6371057009. The cubic root of 114311104 is about 485.3214349885.

Adding to 114311104 its reverse (401113411), we get a palindrome (515424515).

The spelling of 114311104 in words is "one hundred fourteen million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 158 184 316 368 632 736 983 1264 1472 1817 1966 2528 3634 3932 5056 7268 7864 14536 15728 22609 29072 31456 45218 58144 62912 77657 90436 116288 155314 180872 310628 361744 621256 723488 1242512 1446976 1786111 2485024 3572222 4970048 7144444 14288888 28577776 57155552 114311104