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114412442310 = 23251966907861
BaseRepresentation
bin110101010001110000…
…0110101001011000110
3101221022121012021022100
41222203200311023012
53333304041123220
6124321011412530
711160150466515
oct1524340651306
9357277167270
10114412442310
1144581928351
121a2105b4146
13aa346c830a
14577521a67c
152e9968cd90
hex1aa38352c6

114412442310 has 48 divisors (see below), whose sum is σ = 313128794160. Its totient is φ = 28904195520.

The previous prime is 114412442273. The next prime is 114412442323. The reversal of 114412442310 is 13244214411.

114412442310 is a `hidden beast` number, since 1 + 14 + 412 + 4 + 4 + 231 + 0 = 666.

It is a super-2 number, since 2×1144124423102 (a number of 23 digits) 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33452221 + ... + 33455640.

It is an arithmetic number, because the mean of its divisors is an integer number (6523516545).

Almost surely, 2114412442310 is an apocalyptic number.

114412442310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114412442310 is an abundant number, since it is smaller than the sum of its proper divisors (198716351850).

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

114412442310 is a wasteful number, since it uses less digits than its factorization.

114412442310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66907893 (or 66907890 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114412442310 its reverse (13244214411), we get a palindrome (127656656721).

The spelling of 114412442310 in words is "one hundred fourteen billion, four hundred twelve million, four hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 66907861 133815722 200723583 334539305 401447166 602170749 669078610 1003617915 1204341498 1271249359 2007235830 2542498718 3010853745 3813748077 6021707490 6356246795 7627496154 11441244231 12712493590 19068740385 22882488462 38137480770 57206221155 114412442310