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314403230424 = 233178329331687
BaseRepresentation
bin1001001001100111110…
…01001001001011011000
31010001112022010221110210
410210303321021023120
520122344211333144
6400233532211120
731500130235643
oct4446371111330
91101468127423
10314403230424
11111379477518
1250b25009aa0
1323856b4056a
1411307dc0a5a
1582a1de2ab9
hex4933e492d8

314403230424 has 128 divisors (see below), whose sum is σ = 845172195840. Its totient is φ = 97112266752.

The previous prime is 314403230381. The next prime is 314403230447. The reversal of 314403230424 is 424032304413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314403230391 and 314403230400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9906309 + ... + 9937995.

It is an arithmetic number, because the mean of its divisors is an integer number (6602907780).

Almost surely, 2314403230424 is an apocalyptic number.

314403230424 is a gapful number since it is divisible by the number (34) 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 314403230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422586097920).

314403230424 is an abundant number, since it is smaller than the sum of its proper divisors (530768965416).

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

314403230424 is a wasteful number, since it uses less digits than its factorization.

314403230424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32089 (or 32085 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 314403230424 its reverse (424032304413), we get a palindrome (738435534837).

The spelling of 314403230424 in words is "three hundred fourteen billion, four hundred three million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 136 166 204 249 293 332 408 498 586 664 879 996 1172 1411 1758 1992 2344 2822 3516 4233 4981 5644 7032 8466 9962 11288 14943 16932 19924 24319 29886 31687 33864 39848 48638 59772 63374 72957 95061 97276 119544 126748 145914 190122 194552 253496 291828 380244 413423 538679 583656 760488 826846 1077358 1240269 1616037 1653692 2154716 2480538 2630021 3232074 3307384 4309432 4961076 5260042 6464148 7890063 9284291 9922152 10520084 12928296 15780126 18568582 21040168 27852873 31560252 37137164 44710357 55705746 63120504 74274328 89420714 111411492 134131071 157832947 178841428 222822984 268262142 315665894 357682856 473498841 536524284 631331788 770596153 946997682 1073048568 1262663576 1541192306 1893995364 2311788459 3082384612 3787990728 4623576918 6164769224 9247153836 13100134601 18494307672 26200269202 39300403803 52400538404 78600807606 104801076808 157201615212 314403230424