Search a number
-
+
30231636344 = 23713415917167
BaseRepresentation
bin11100001001111100…
…100010100101111000
32220000220011020200222
4130021330202211320
5443403244330334
621515504515212
72120111445320
oct341174424570
986026136628
1030231636344
1111903a74928
125a3861bb08
132b0a378120
14166b104280
15bbe131d2e
hex709f22978

30231636344 has 128 divisors (see below), whose sum is σ = 72682444800. Its totient is φ = 11469634560.

The previous prime is 30231636343. The next prime is 30231636353. The reversal of 30231636344 is 44363613203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30231636343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1752449 + ... + 1769615.

It is an arithmetic number, because the mean of its divisors is an integer number (567831600).

Almost surely, 230231636344 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 30231636344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36341222400).

30231636344 is an abundant number, since it is smaller than the sum of its proper divisors (42450808456).

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

30231636344 is a wasteful number, since it uses less digits than its factorization.

30231636344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17293 (or 17289 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

The spelling of 30231636344 in words is "thirty billion, two hundred thirty-one million, six hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 59 82 91 104 118 164 182 236 287 328 364 413 472 533 574 728 767 826 1066 1148 1534 1652 2132 2296 2419 3068 3304 3731 4264 4838 5369 6136 7462 9676 10738 14924 16933 17167 19352 21476 29848 31447 33866 34334 42952 62894 67732 68668 120169 125788 135464 137336 220129 223171 240338 251576 440258 446342 480676 703847 880516 892684 961352 1012853 1407694 1562197 1761032 1785368 2025706 2815388 3124394 4051412 4926929 5630776 6248788 7089971 8102824 9150011 9853858 12497576 13167089 14179942 18300022 19707716 26334178 28359884 36600044 39415432 41526973 52668356 56719768 64050077 73200088 83053946 92169623 105336712 128100154 166107892 184339246 256200308 290688811 332215784 368678492 512400616 539850649 581377622 737356984 1079701298 1162755244 2159402596 2325510488 3778954543 4318805192 7557909086 15115818172 30231636344