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314323324004412 = 223446318973110437
BaseRepresentation
bin100011101111000000001101…
…0000100100110100000111100
31112012221000102220000202110000
41013132000122010212200330
5312144333131421120122
63032302050330514300
7123131052662630052
oct10736003204464074
91465830386022400
10314323324004412
1191175856010108
122b305b71295990
13106507403ca5b8
1457894899561d2
15265140e8cc0ac
hex11de01a12683c

314323324004412 has 120 divisors (see below), whose sum is σ = 823528854120896. Its totient is φ = 104541689653632.

The previous prime is 314323324004407. The next prime is 314323324004483. The reversal of 314323324004412 is 214400423323413.

314323324004412 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 233 + 2 + 4 + 0 + 0 + 4 + 412 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2846122458 + ... + 2846232894.

Almost surely, 2314323324004412 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 314323324004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411764427060448).

314323324004412 is an abundant number, since it is smaller than the sum of its proper divisors (509205530116484).

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

314323324004412 is a wasteful number, since it uses less digits than its factorization.

314323324004412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129889 (or 129878 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 314323324004412 its reverse (214400423323413), we get a palindrome (528723747327825).

The spelling of 314323324004412 in words is "three hundred fourteen trillion, three hundred twenty-three billion, three hundred twenty-four million, four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 463 926 1389 1852 2778 4167 5556 8334 12501 16668 18973 25002 37503 37946 50004 56919 75006 75892 110437 113838 150012 170757 220874 227676 331311 341514 441748 512271 662622 683028 993933 1024542 1325244 1536813 1987866 2049084 2981799 3073626 3975732 5963598 6147252 8784499 8945397 11927196 17568998 17890794 26353497 35137996 35781588 51132331 52706994 79060491 102264662 105413988 153396993 158120982 204529324 237181473 306793986 316241964 460190979 474362946 613587972 711544419 920381958 948725892 1380572937 1423088838 1840763916 2095321201 2761145874 2846177676 4141718811 4190642402 5522291748 6285963603 8283437622 8381284804 12571927206 16566875244 18857890809 25143854412 37715781618 56573672427 75431563236 113147344854 169721017281 226294689708 339442034562 678884069124 970133716063 1940267432126 2910401148189 3880534864252 5820802296378 8731203444567 11641604592756 17462406889134 26193610333701 34924813778268 52387220667402 78580831001103 104774441334804 157161662002206 314323324004412