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124413424314421 = 11210114968324149
BaseRepresentation
bin11100010010011101000001…
…111101100010100000110101
3121022111210210110020221021211
4130102131001331202200311
5112301342143111030141
61120334423232441421
735130400430656234
oct3422350175424065
9538453713227254
10124413424314421
1136707489635300
1211b541a40a9271
13545619bb0ab48
1422a18db3d0b1b
15e5b42a823d81
hex712741f62835

124413424314421 has 24 divisors (see below), whose sum is σ = 139032812835000. Its totient is φ = 111231712944000.

The previous prime is 124413424314367. The next prime is 124413424314463.

It is a happy number.

124413424314421 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 69743460075025 + 54669964239396 = 8351255^2 + 7393914^2 .

It is not a de Polignac number, because 124413424314421 - 231 = 124411276830773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124413424344421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32341146 + ... + 35983003.

It is an arithmetic number, because the mean of its divisors is an integer number (5793033868125).

Almost surely, 2124413424314421 is an apocalyptic number.

124413424314421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124413424314421 is a deficient number, since it is larger than the sum of its proper divisors (14619388520579).

124413424314421 is a wasteful number, since it uses less digits than its factorization.

124413424314421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68324421 (or 68324410 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The spelling of 124413424314421 in words is "one hundred twenty-four trillion, four hundred thirteen billion, four hundred twenty-four million, three hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 11 101 121 149 1111 1639 12221 15049 18029 165539 1820929 68324149 751565639 6900739049 8267222029 10180298201 75908129539 111983280211 834989424929 1028210118301 1231816082321 11310311301311 124413424314421