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114313040 = 2451519463
BaseRepresentation
bin1101101000001…
…00011101010000
321222002201000022
412310010131100
5213231004130
615202043012
72555434112
oct664043520
9258081008
10114313040
1159588096
1232349468
131a8b556a
14112793b2
15a0807e5
hex6d04750

114313040 has 40 divisors (see below), whose sum is σ = 267566208. Its totient is φ = 45417600.

The previous prime is 114313033. The next prime is 114313057. The reversal of 114313040 is 40313411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1143130402 = 26134942228083200, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7349 + ... + 16811.

Almost surely, 2114313040 is an apocalyptic number.

114313040 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 114313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133783104).

114313040 is an abundant number, since it is smaller than the sum of its proper divisors (153253168).

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

114313040 is a wasteful number, since it uses less digits than its factorization.

114313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9621 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 114313040 is about 10691.7276433699. The cubic root of 114313040 is about 485.3241748128.

Adding to 114313040 its reverse (40313411), we get a palindrome (154626451).

The spelling of 114313040 in words is "one hundred fourteen million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 9463 12080 18926 37852 47315 75704 94630 151408 189260 378520 757040 1428913 2857826 5715652 7144565 11431304 14289130 22862608 28578260 57156520 114313040