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35314000065240 = 233513199113754671
BaseRepresentation
bin10000000011110001011100…
…11011011111001011011000
311122000222121101022220201020
420001320232123133023120
514112041033004041430
6203035005550522440
710303231561563531
oct1001705633371330
9148028541286636
1035314000065240
1110285646448066
123b6410b206420
131692132964890
148a12c7367688
154138e8d01b10
hex201e2e6df2d8

35314000065240 has 128 divisors (see below), whose sum is σ = 114664709376000. Its totient is φ = 8648995069440.

The previous prime is 35314000065221. The next prime is 35314000065247. The reversal of 35314000065240 is 4256000041353.

35314000065240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35314000065247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56566896 + ... + 57187775.

It is an arithmetic number, because the mean of its divisors is an integer number (895818042000).

Almost surely, 235314000065240 is an apocalyptic number.

35314000065240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35314000065240 is an abundant number, since it is smaller than the sum of its proper divisors (79350709310760).

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

35314000065240 is a wasteful number, since it uses less digits than its factorization.

35314000065240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113754897 (or 113754893 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 35314000065240 in words is "thirty-five trillion, three hundred fourteen billion, sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 199 260 312 390 398 520 597 780 796 995 1194 1560 1592 1990 2388 2587 2985 3980 4776 5174 5970 7761 7960 10348 11940 12935 15522 20696 23880 25870 31044 38805 51740 62088 77610 103480 155220 310440 113754671 227509342 341264013 455018684 568773355 682528026 910037368 1137546710 1365056052 1478810723 1706320065 2275093420 2730112104 2957621446 3412640130 4436432169 4550186840 5915242892 6825280260 7394053615 8872864338 11830485784 13650560520 14788107230 17745728676 22182160845 22637179529 29576214460 35491457352 44364321690 45274359058 59152428920 67911538587 88728643380 90548718116 113185897645 135823077174 177457286760 181097436232 226371795290 271646154348 294283333877 339557692935 452743590580 543292308696 588566667754 679115385870 882850001631 905487181160 1177133335508 1358230771740 1471416669385 1765700003262 2354266671016 2716461543480 2942833338770 3531400006524 4414250008155 5885666677540 7062800013048 8828500016310 11771333355080 17657000032620 35314000065240