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114312400041 = 3710171974959
BaseRepresentation
bin110101001110110001…
…1001100110010101001
3101221001121221121010010
41222131203030302221
53333102433300131
6124303035242133
711154524240220
oct1523543146251
9357047847103
10114312400041
1144530408094
121a1a2ba9349
13aa19a6b4c8
145765c17cb7
152e909cab46
hex1a9d8ccca9

114312400041 has 32 divisors (see below), whose sum is σ = 176161996800. Its totient is φ = 64583812800.

The previous prime is 114312400039. The next prime is 114312400043. The reversal of 114312400041 is 140004213411.

It is an interprime number because it is at equal distance from previous prime (114312400039) and next prime (114312400043).

It is not a de Polignac number, because 114312400041 - 21 = 114312400039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 114312399990 and 114312400017.

It is not an unprimeable number, because it can be changed into a prime (114312400043) by changing a digit.

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, 1487520 + ... + 1562478.

It is an arithmetic number, because the mean of its divisors is an integer number (5505062400).

Almost surely, 2114312400041 is an apocalyptic number.

It is an amenable number.

114312400041 is a deficient number, since it is larger than the sum of its proper divisors (61849596759).

114312400041 is a wasteful number, since it uses less digits than its factorization.

114312400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75789.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114312400041 its reverse (140004213411), we get a palindrome (254316613452).

The spelling of 114312400041 in words is "one hundred fourteen billion, three hundred twelve million, four hundred thousand, forty-one".

Divisors: 1 3 7 21 101 303 707 719 2121 2157 5033 15099 72619 74959 217857 224877 508333 524713 1524999 1574139 7570859 22712577 52996013 53895521 158988039 161686563 377268647 1131805941 5443447621 16330342863 38104133347 114312400041