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114241133222440 = 23572317739306401
BaseRepresentation
bin11001111110011011010110…
…001010100001101000101000
3112222111100022222221100222121
4121332123112022201220220
5104433211320101104230
61042545352503401024
733030435531223210
oct3176332612415050
9488440288840877
10114241133222440
1133445435497874
1210990844453174
134b98b7b181c23
14202d42c239240
15d31a19d7377a
hex67e6d62a1a28

114241133222440 has 64 divisors (see below), whose sum is σ = 306535214626560. Its totient is φ = 37465415116800.

The previous prime is 114241133222407. The next prime is 114241133222441. The reversal of 114241133222440 is 44222331142411.

It is a junction number, because it is equal to n+sod(n) for n = 114241133222396 and 114241133222405.

It is not an unprimeable number, because it can be changed into a prime (114241133222441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8869646761 + ... + 8869659640.

It is an arithmetic number, because the mean of its divisors is an integer number (4789612728540).

Almost surely, 2114241133222440 is an apocalyptic number.

114241133222440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114241133222440 is an abundant number, since it is smaller than the sum of its proper divisors (192294081404120).

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

114241133222440 is a wasteful number, since it uses less digits than its factorization.

114241133222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17739306442 (or 17739306438 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 114241133222440 its reverse (44222331142411), we get a palindrome (158463464364851).

The spelling of 114241133222440 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred thirty-three million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 17739306401 35478612802 70957225604 88696532005 124175144807 141914451208 177393064010 248350289614 354786128020 408004047223 496700579228 620875724035 709572256040 816008094446 993401158456 1241751448070 1632016188892 2040020236115 2483502896140 2856028330561 3264032377784 4080040472230 4967005792280 5712056661122 8160080944460 11424113322244 14280141652805 16320161888920 22848226644488 28560283305610 57120566611220 114241133222440