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341363643156 = 2232417117411871
BaseRepresentation
bin1001111011110101101…
…10111101001100010100
31012122010012220210222200
410331322312331030110
521043103043040111
6420453103324500
733443211043224
oct4757266751424
91178105823880
10341363643156
11121853971658
12561a9bb0730
13262625703c3
141274487a084
158d2dc58256
hex4f7adbd314

341363643156 has 144 divisors (see below), whose sum is σ = 897381628416. Its totient is φ = 109327680000.

The previous prime is 341363643107. The next prime is 341363643163. The reversal of 341363643156 is 651346363143.

It is a happy number.

341363643156 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 636 + 4 + 3 + 1 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 182448901 + ... + 182450771.

It is an arithmetic number, because the mean of its divisors is an integer number (6231816864).

Almost surely, 2341363643156 is an apocalyptic number.

341363643156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341363643156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448690814208).

341363643156 is an abundant number, since it is smaller than the sum of its proper divisors (556017985260).

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

341363643156 is a wasteful number, since it uses less digits than its factorization.

341363643156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3729 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 341363643156 in words is "three hundred forty-one billion, three hundred sixty-three million, six hundred forty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 71 82 123 142 164 213 246 284 369 426 492 639 738 852 1278 1476 1741 1871 2556 2911 3482 3742 5223 5613 5822 6964 7484 8733 10446 11226 11644 15669 16839 17466 20892 22452 26199 31338 33678 34932 52398 62676 67356 71381 76711 104796 123611 132841 142762 153422 214143 230133 247222 265682 285524 306844 370833 398523 428286 460266 494444 531364 642429 690399 741666 797046 856572 920532 1112499 1195569 1284858 1380798 1483332 1594092 2224998 2391138 2569716 2761596 3257411 4449996 4782276 5068051 5446481 6514822 9772233 10136102 10892962 13029644 15204153 16339443 19544466 20272204 21785924 29316699 30408306 32678886 39088932 45612459 49018329 58633398 60816612 65357772 91224918 98036658 117266796 133553851 182449836 196073316 231276181 267107702 400661553 462552362 534215404 693828543 801323106 925104724 1201984659 1387657086 1602646212 2081485629 2403969318 2775314172 4162971258 4807938636 8325942516 9482323421 18964646842 28446970263 37929293684 56893940526 85340910789 113787881052 170681821578 341363643156