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8314313420 = 2257176157269
BaseRepresentation
bin1111011111001001…
…00101101011001100
3210110102211212212002
413233210211223030
5114011431012140
63453004331432
7413015332550
oct75744455314
923412755762
108314313420
113587238806
121740543b78
13a266b2baa
1458c325860
15339dd5415
hex1ef925acc

8314313420 has 96 divisors (see below), whose sum is σ = 21474875520. Its totient is φ = 2638909440.

The previous prime is 8314313393. The next prime is 8314313459. The reversal of 8314313420 is 243134138.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116546 + ... + 173814.

It is an arithmetic number, because the mean of its divisors is an integer number (223696620).

Almost surely, 28314313420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8314313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737437760).

8314313420 is an abundant number, since it is smaller than the sum of its proper divisors (13160562100).

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

8314313420 is a wasteful number, since it uses less digits than its factorization.

8314313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57363 (or 57361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 8314313420 is about 91182.8570510927. The cubic root of 8314313420 is about 2025.8570508206.

Adding to 8314313420 its reverse (243134138), we get a palindrome (8557447558).

The spelling of 8314313420 in words is "eight billion, three hundred fourteen million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 61 68 70 85 119 122 140 170 238 244 305 340 427 476 595 610 854 1037 1190 1220 1708 2074 2135 2380 4148 4270 5185 7259 8540 10370 14518 20740 29036 36295 57269 72590 114538 145180 229076 286345 400883 572690 801766 973573 1145380 1603532 1947146 2004415 3493409 3894292 4008830 4867865 6815011 6986818 8017660 9735730 13630022 13973636 17467045 19471460 24453863 27260044 34075055 34934090 48907726 59387953 68150110 69868180 97815452 118775906 122269315 136300220 237551812 244538630 296939765 415715671 489077260 593879530 831431342 1187759060 1662862684 2078578355 4157156710 8314313420