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314301004224 = 2637879292239
BaseRepresentation
bin1001001001011011100…
…11001011100111000000
31010001021011210022111020
410210231303023213000
520122142024113344
6400215441145440
731464446312244
oct4445563134700
91101234708436
10314301004224
111113267a5459
1250ab692b280
132383b8ca69c
14112d85b0424
158297e4d719
hex492dccb9c0

314301004224 has 112 divisors (see below), whose sum is σ = 833913292800. Its totient is φ = 104474566656.

The previous prime is 314301004207. The next prime is 314301004243. The reversal of 314301004224 is 422400103413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 314301004194 and 314301004203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140374497 + ... + 140376735.

It is an arithmetic number, because the mean of its divisors is an integer number (7445654400).

Almost surely, 2314301004224 is an apocalyptic number.

It is an amenable number.

314301004224 is an abundant number, since it is smaller than the sum of its proper divisors (519612288576).

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

314301004224 is a wasteful number, since it uses less digits than its factorization.

314301004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 314301004224 its reverse (422400103413), we get a palindrome (736701107637).

The spelling of 314301004224 in words is "three hundred fourteen billion, three hundred one million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 787 929 1574 1858 2239 2361 2787 3148 3716 4478 4722 5574 6296 6717 7432 8956 9444 11148 12592 13434 14864 17912 18888 22296 25184 26868 29728 35824 37776 44592 50368 53736 59456 71648 75552 89184 107472 143296 151104 178368 214944 429888 731123 1462246 1762093 2080031 2193369 2924492 3524186 4160062 4386738 5286279 5848984 6240093 7048372 8320124 8773476 10572558 11697968 12480186 14096744 16640248 17546952 21145116 23395936 24960372 28193488 33280496 35093904 42290232 46791872 49920744 56386976 66560992 70187808 84580464 99841488 112773952 133121984 140375616 169160928 199682976 338321856 399365952 1636984397 3273968794 4910953191 6547937588 9821906382 13095875176 19643812764 26191750352 39287625528 52383500704 78575251056 104767001408 157150502112 314301004224