Search a number
-
+
34313400311140 = 22517538322941979
BaseRepresentation
bin1111100110101001101100…
…00010010101110101100100
311111111022212212100211021101
413303110312002111311210
513444142320434424030
6200551205233325444
710141030022161336
oct763246602256544
9144438785324241
1034313400311140
11aa2a25aa22025
123a22200406884
13161b980358372
14868ac53dd456
153e7884aba7ca
hex1f3536095d64

34313400311140 has 96 divisors (see below), whose sum is σ = 78673004887680. Its totient is φ = 12521548056576.

The previous prime is 34313400311059. The next prime is 34313400311149. The reversal of 34313400311140 is 4111300431343.

It is a junction number, because it is equal to n+sod(n) for n = 34313400311099 and 34313400311108.

It is not an unprimeable number, because it can be changed into a prime (34313400311149) 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, 9975330 + ... + 12966649.

It is an arithmetic number, because the mean of its divisors is an integer number (819510467580).

Almost surely, 234313400311140 is an apocalyptic number.

It is an amenable number.

34313400311140 is an abundant number, since it is smaller than the sum of its proper divisors (44359604576540).

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

34313400311140 is a wasteful number, since it uses less digits than its factorization.

34313400311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22942141 (or 22942139 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 34313400311140 its reverse (4111300431343), we get a palindrome (38424700742483).

The spelling of 34313400311140 in words is "thirty-four trillion, three hundred thirteen billion, four hundred million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 83 85 106 166 170 212 265 332 340 415 530 830 901 1060 1411 1660 1802 2822 3604 4399 4505 5644 7055 8798 9010 14110 17596 18020 21995 28220 43990 74783 87980 149566 299132 373915 747830 1495660 22941979 45883958 91767916 114709895 229419790 390013643 458839580 780027286 1215924887 1560054572 1904184257 1950068215 2431849774 3808368514 3900136430 4863699548 6079624435 7616737028 7800272860 9520921285 12159248870 19041842570 20670723079 24318497740 32371132369 38083685140 41341446158 64742264738 82682892316 100921765621 103353615395 129484529476 161855661845 201843531242 206707230790 323711323690 403687062484 413414461580 504608828105 647422647380 1009217656210 1715670015557 2018435312420 3431340031114 6862680062228 8578350077785 17156700155570 34313400311140