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114523141210140 = 2235131031425480971
BaseRepresentation
bin11010000010100001111111…
…001001101000000000011100
3120000111022020121201110202210
4122002201333021220000130
5110002321343122211030
61043323112121320420
733060011125452315
oct3202417711500034
9500438217643683
10114523141210140
1133543a9a667a13
1210a17428336110
134bb9641618bc0
14203cd41a2d60c
15d39022c05bb0
hex68287f26801c

114523141210140 has 96 divisors (see below), whose sum is σ = 348684049598976. Its totient is φ = 27916619316480.

The previous prime is 114523141210087. The next prime is 114523141210199. The reversal of 114523141210140 is 41012141325411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114523141210098 and 114523141210107.

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 31 ways as a sum of consecutive naturals, for example, 712660146 + ... + 712820825.

It is an arithmetic number, because the mean of its divisors is an integer number (3632125516656).

Almost surely, 2114523141210140 is an apocalyptic number.

114523141210140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114523141210140 is an abundant number, since it is smaller than the sum of its proper divisors (234160908388836).

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

114523141210140 is a wasteful number, since it uses less digits than its factorization.

114523141210140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425481099 (or 1425481097 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 114523141210140 its reverse (41012141325411), we get a palindrome (155535282535551).

The spelling of 114523141210140 in words is "one hundred fourteen trillion, five hundred twenty-three billion, one hundred forty-one million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 195 206 260 309 390 412 515 618 780 1030 1236 1339 1545 2060 2678 3090 4017 5356 6180 6695 8034 13390 16068 20085 26780 40170 80340 1425480971 2850961942 4276442913 5701923884 7127404855 8552885826 14254809710 17105771652 18531252623 21382214565 28509619420 37062505246 42764429130 55593757869 74125010492 85528858260 92656263115 111187515738 146824540013 185312526230 222375031476 277968789345 293649080026 370625052460 440473620039 555937578690 587298160052 734122700065 880947240078 1111875157380 1468245400130 1761894480156 1908719020169 2202368100195 2936490800260 3817438040338 4404736200390 5726157060507 7634876080676 8809472400780 9543595100845 11452314121014 19087190201690 22904628242028 28630785302535 38174380403380 57261570605070 114523141210140