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34121213094 = 231773107113379
BaseRepresentation
bin11111110001110010…
…000110010010100110
310021001222002012221010
4133301302012102212
51024340012304334
623401452003050
72315361345243
oct376162062246
9107058065833
1034121213094
111351a598471
126743160486
1332aa146927
1419199125ca
15d4a8440e9
hex7f1c864a6

34121213094 has 128 divisors (see below), whose sum is σ = 74782103040. Its totient is φ = 10339467264.

The previous prime is 34121213081. The next prime is 34121213117. The reversal of 34121213094 is 49031212143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90029397 + ... + 90029775.

It is an arithmetic number, because the mean of its divisors is an integer number (584235180).

Almost surely, 234121213094 is an apocalyptic number.

34121213094 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34121213094 is an abundant number, since it is smaller than the sum of its proper divisors (40660889946).

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

34121213094 is a wasteful number, since it uses less digits than its factorization.

34121213094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 34121213094 in words is "thirty-four billion, one hundred twenty-one million, two hundred thirteen thousand, ninety-four".

Divisors: 1 2 3 6 17 34 51 73 102 107 113 146 214 219 226 321 339 379 438 642 678 758 1137 1241 1819 1921 2274 2482 3638 3723 3842 5457 5763 6443 7446 7811 8249 10914 11526 12091 12886 15622 16498 19329 23433 24182 24747 27667 36273 38658 40553 42827 46866 49494 55334 72546 81106 83001 85654 121659 128481 132787 140233 166002 205547 243318 256962 265574 280466 398361 411094 420699 470339 616641 689401 728059 796722 841398 882643 940678 1233282 1378802 1411017 1456118 1765286 2068203 2184177 2647929 2822034 2960369 3126371 4136406 4368354 4582489 5295858 5920738 6252742 8881107 9164978 9379113 13747467 15004931 17762214 18758226 27494934 30009862 45014793 50326273 53148307 77902313 90029586 100652546 106296614 150978819 155804626 159444921 233706939 301957638 318889842 334521697 467413878 669043394 1003565091 2007130182 5686868849 11373737698 17060606547 34121213094