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21431643156 = 223271123336151
BaseRepresentation
bin10011111101011011…
…001110110000010100
32001022121102021110100
4103331123032300110
5322343000040111
613502350254100
71356044650440
oct237533166024
961277367410
1021431643156
1190a8670790
1241a14b7330
132037185271
1410744b3820
158567b1756
hex4fd6cec14

21431643156 has 144 divisors (see below), whose sum is σ = 70478972928. Its totient is φ = 5324616000.

The previous prime is 21431643139. The next prime is 21431643173. The reversal of 21431643156 is 65134613412.

21431643156 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 1 + 643 + 1 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21431643139) and next prime (21431643173).

It is a super-2 number, since 2×214316431562 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21431643156.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 104320 + ... + 231831.

It is an arithmetic number, because the mean of its divisors is an integer number (489437312).

Almost surely, 221431643156 is an apocalyptic number.

It is an amenable number.

21431643156 is an abundant number, since it is smaller than the sum of its proper divisors (49047329772).

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

21431643156 is a wasteful number, since it uses less digits than its factorization.

21431643156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336202 (or 336197 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 21431643156 in words is "twenty-one billion, four hundred thirty-one million, six hundred forty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 28 33 36 42 44 46 63 66 69 77 84 92 99 126 132 138 154 161 198 207 231 252 253 276 308 322 396 414 462 483 506 644 693 759 828 924 966 1012 1386 1449 1518 1771 1932 2277 2772 2898 3036 3542 4554 5313 5796 7084 9108 10626 15939 21252 31878 63756 336151 672302 1008453 1344604 2016906 2353057 3025359 3697661 4033812 4706114 6050718 7059171 7395322 7731473 9412228 11092983 12101436 14118342 14790644 15462946 21177513 22185966 23194419 25883627 28236684 30925892 33278949 42355026 44371932 46388838 51767254 54120311 66557898 69583257 77650881 84710052 85046203 92777676 103534508 108240622 133115796 139166514 155301762 162360933 170092406 216481244 232952643 255138609 278333028 310603524 324721866 340184812 465905286 487082799 510277218 595323421 649443732 765415827 931810572 974165598 1020554436 1190646842 1530831654 1785970263 1948331196 2381293684 3061663308 3571940526 5357910789 7143881052 10715821578 21431643156