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34302454004214 = 23211487510169739
BaseRepresentation
bin1111100110010101010011…
…00101011111100111110110
311111110021121222221211002100
413303022221211133213312
513444002411211113324
6200542155124122530
710140161534124144
oct763125145374766
9144407558854070
1034302454004214
11aa25653027680
123a20066536446
13161a9275b0086
14868367708594
153e7443ad54c9
hex1f32a995f9f6

34302454004214 has 96 divisors (see below), whose sum is σ = 81262105816320. Its totient is φ = 10371156408000.

The previous prime is 34302454004183. The next prime is 34302454004233. The reversal of 34302454004214 is 41240045420343.

34302454004214 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 245 + 400 + 4 + 2 + 1 + 4 = 666.

It is a super-2 number, since 2×343024540042142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491834157 + ... + 491903895.

It is an arithmetic number, because the mean of its divisors is an integer number (846480268920).

Almost surely, 234302454004214 is an apocalyptic number.

34302454004214 is an abundant number, since it is smaller than the sum of its proper divisors (46959651812106).

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

34302454004214 is a wasteful number, since it uses less digits than its factorization.

34302454004214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75346 (or 75343 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 34302454004214 its reverse (41240045420343), we get a palindrome (75542499424557).

The spelling of 34302454004214 in words is "thirty-four trillion, three hundred two billion, four hundred fifty-four million, four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 487 974 1461 2922 4383 5101 5357 8766 10202 10714 15303 16071 30606 32142 45909 48213 56111 69739 91818 96426 112222 139478 168333 209217 336666 418434 504999 627651 767129 1009998 1255302 1534258 2301387 2484187 4602774 4968374 6904161 7452561 13808322 14905122 22357683 27326057 33962893 44715366 54652114 67925786 81978171 101888679 163956342 203777358 245934513 305666037 355738639 373591823 491869026 611332074 711477278 747183646 1067215917 1120775469 2134431834 2241550938 3201647751 3362326407 3913125029 6403295502 6724652814 7826250058 11739375087 23478750174 35218125261 70436250522 173244717193 346489434386 519734151579 1039468303158 1559202454737 1905691889123 3118404909474 3811383778246 5717075667369 11434151334738 17151227002107 34302454004214