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8214301368 = 2334713139301
BaseRepresentation
bin1111010011001110…
…00100101010111000
3210012110122202010000
413221213010222320
5113310330120433
63435032553000
7410362260330
oct75147045270
923173582100
108214301368
113535839219
121712b52760
13a0ba66a70
1457cd300c0
1533122c113
hex1e99c4ab8

8214301368 has 160 divisors (see below), whose sum is σ = 28317310560. Its totient is φ = 2166393600.

The previous prime is 8214301339. The next prime is 8214301399. The reversal of 8214301368 is 8631034128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10683 + ... + 128618.

It is an arithmetic number, because the mean of its divisors is an integer number (176983191).

Almost surely, 28214301368 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 8214301368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158655280).

8214301368 is an abundant number, since it is smaller than the sum of its proper divisors (20103009192).

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

8214301368 is a wasteful number, since it uses less digits than its factorization.

8214301368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139339 (or 139326 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8214301368 is about 90632.7830754413. The cubic root of 8214301368 is about 2017.7013168189.

The spelling of 8214301368 in words is "eight billion, two hundred fourteen million, three hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968 139301 278602 417903 557204 835806 975107 1114408 1253709 1671612 1810913 1950214 2507418 2925321 3343224 3621826 3761127 3900428 5014836 5432739 5850642 7243652 7522254 7800856 8775963 10029672 10865478 11283381 11701284 12676391 14487304 15044508 16298217 17551926 21730956 22566762 23402568 25352782 26327889 30089016 32596434 35103852 38029173 43461912 45133524 48894651 50705564 52655778 65192868 70207704 76058346 78983667 90267048 97789302 101411128 105311556 114087519 130385736 146683953 152116692 157967334 195578604 210623112 228175038 293367906 304233384 315934668 342262557 391157208 456350076 586735812 631869336 684525114 912700152 1026787671 1173471624 1369050228 2053575342 2738100456 4107150684 8214301368