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114941310 = 23511348307
BaseRepresentation
bin1101101100111…
…01110101111110
322000021121211120
412312131311332
5213411110220
615223331410
72563661601
oct666356576
9260247746
10114941310
1159977120
12325b0b66
131aa75513
14113a0338
15a156a40
hex6d9dd7e

114941310 has 32 divisors (see below), whose sum is σ = 300938112. Its totient is φ = 27864480.

The previous prime is 114941303. The next prime is 114941341. The reversal of 114941310 is 13149411.

It is a super-2 number, since 2×1149413102 = 26423009489032200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 173824 + ... + 174483.

It is an arithmetic number, because the mean of its divisors is an integer number (9404316).

Almost surely, 2114941310 is an apocalyptic number.

114941310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114941310 is an abundant number, since it is smaller than the sum of its proper divisors (185996802).

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

114941310 is a wasteful number, since it uses less digits than its factorization.

114941310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348328.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 114941310 is about 10721.0685101812. The cubic root of 114941310 is about 486.2116726002.

It can be divided in two parts, 1 and 14941310, that added together give a triangular number (14941311 = T5466).

The spelling of 114941310 in words is "one hundred fourteen million, nine hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 348307 696614 1044921 1741535 2089842 3483070 3831377 5224605 7662754 10449210 11494131 19156885 22988262 38313770 57470655 114941310