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141412141214141 = 74710112733509327
BaseRepresentation
bin100000001001110100010100…
…011100011010100110111101
3200112200212110021001220210212
4200021310110130122212331
5122013344031122323031
61220431501342042205
741533455454410650
oct4011642434324675
9615625407056725
10141412141214141
1141070609121406
1213a3a753b79365
1360ba1527c2c45
1426cc554193897
1511536c34b312b
hex809d1471a9bd

141412141214141 has 32 divisors (see below), whose sum is σ = 167999149965312. Its totient is φ = 116532032097600.

The previous prime is 141412141214137. The next prime is 141412141214171.

141412141214141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141412141214141 - 22 = 141412141214137 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141412141214098 and 141412141214107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141412141214171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12534581 + ... + 20974746.

It is an arithmetic number, because the mean of its divisors is an integer number (5249973436416).

Almost surely, 2141412141214141 is an apocalyptic number.

It is an amenable number.

141412141214141 is a deficient number, since it is larger than the sum of its proper divisors (26587008751171).

141412141214141 is a wasteful number, since it uses less digits than its factorization.

141412141214141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33509609.

The product of its digits is 4096, while the sum is 32.

The spelling of 141412141214141 in words is "one hundred forty-one trillion, four hundred twelve billion, one hundred forty-one million, two hundred fourteen thousand, one hundred forty-one".

Divisors: 1 7 47 101 127 329 707 889 4747 5969 12827 33229 41783 89789 602869 4220083 33509327 234565289 1574938369 3384442027 4255684529 11024568583 23691094189 29789791703 159068775269 200017172863 429824137429 1113481426883 1400120210041 3008768962003 20201734459163 141412141214141