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34114442061246 = 23593491657166643
BaseRepresentation
bin1111100000110111000110…
…01100110110010110111110
311110210022100010022112021020
413300123203030312112332
513432412334131424441
6200315542555445010
710120454451022551
oct760334314662676
9143708303275236
1034114442061246
11a962943200128
1239ab735756766
131605c93b03691
1485d20d816698
153e25dcd22e66
hex1f06e33365be

34114442061246 has 64 divisors (see below), whose sum is σ = 69626529504000. Its totient is φ = 11139919047936.

The previous prime is 34114442061241. The next prime is 34114442061289. The reversal of 34114442061246 is 64216024441143.

It is a super-2 number, since 2×341144420612462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34114442061198 and 34114442061207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114442061241) 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, 204632401 + ... + 204799043.

It is an arithmetic number, because the mean of its divisors is an integer number (1087914523500).

Almost surely, 234114442061246 is an apocalyptic number.

34114442061246 is an abundant number, since it is smaller than the sum of its proper divisors (35512087442754).

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

34114442061246 is a wasteful number, since it uses less digits than its factorization.

34114442061246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168713.

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 34114442061246 in words is "thirty-four trillion, one hundred fourteen billion, four hundred forty-two million, sixty-one thousand, two hundred forty-six".

Divisors: 1 2 3 6 59 118 177 349 354 698 1047 1657 2094 3314 4971 9942 20591 41182 61773 97763 123546 166643 195526 293289 333286 499929 578293 586578 999858 1156586 1734879 3469758 9831937 19663874 29495811 34119287 58158407 58991622 68238574 102357861 116316814 174475221 204715722 276127451 348950442 552254902 828382353 1656764706 3431346013 6862692026 10294038039 16291519609 20588076078 32583039218 48874558827 96368480399 97749117654 192736960798 289105441197 578210882394 5685740343541 11371480687082 17057221030623 34114442061246