Search a number
-
+
314224043420 = 2257217131143977
BaseRepresentation
bin1001001001010010011…
…01100110010110011100
31010001001210222022010002
410210221031212112130
520122012323342140
6400204051433432
731462523204600
oct4445115462634
91101053868102
10314224043420
1111129730a691
1250a94bb5878
1323828992751
14112cc299500
1582912ea415
hex492936659c

314224043420 has 144 divisors (see below), whose sum is σ = 818967596832. Its totient is φ = 100621946880.

The previous prime is 314224043417. The next prime is 314224043473. The reversal of 314224043420 is 24340422413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110472 + ... + 2254448.

It is an arithmetic number, because the mean of its divisors is an integer number (5687274978).

Almost surely, 2314224043420 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 314224043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409483798416).

314224043420 is an abundant number, since it is smaller than the sum of its proper divisors (504743553412).

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

314224043420 is a wasteful number, since it uses less digits than its factorization.

314224043420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144148 (or 144139 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 314224043420 its reverse (24340422413), we get a palindrome (338564465833).

The spelling of 314224043420 in words is "three hundred fourteen billion, two hundred twenty-four million, forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 131 140 170 196 238 245 262 340 476 490 524 595 655 833 917 980 1190 1310 1666 1834 2227 2380 2620 3332 3668 4165 4454 4585 6419 8330 8908 9170 11135 12838 15589 16660 18340 22270 25676 31178 32095 44540 62356 64190 77945 109123 128380 143977 155890 218246 287954 311780 436492 545615 575908 719885 1007839 1091230 1439770 2015678 2182460 2447609 2879540 4031356 4895218 5039195 7054873 9790436 10078390 12238045 14109746 17133263 18860987 20156780 24476090 28219492 34266526 35274365 37721974 48952180 68533052 70548730 75443948 85666315 94304935 119932841 132026909 141097460 171332630 188609870 239865682 264053818 320636779 342665260 377219740 479731364 528107636 599664205 641273558 660134545 924188363 1199328410 1282547116 1320269090 1603183895 1848376726 2244457453 2398656820 2640538180 3206367790 3696753452 4488914906 4620941815 6412735580 8977829812 9241883630 11222287265 15711202171 18483767260 22444574530 31422404342 44889149060 62844808684 78556010855 157112021710 314224043420