Search a number
-
+
348713031272430 = 235119476043184651
BaseRepresentation
bin100111101001001110001010…
…0010110111000011111101110
31200201200122021201101121221110
41033102130110112320133232
5331201303242001204210
63233352315515212450
7133310453664422436
oct11722342426703756
91621618251347843
10348713031272430
11a1124403250260
123313ab08747126
1311c76661731546
146217b2d4412c6
152a4ac5d626420
hex13d27145b87ee

348713031272430 has 128 divisors (see below), whose sum is σ = 914114402113536. Its totient is φ = 84432793104000.

The previous prime is 348713031272401. The next prime is 348713031272443. The reversal of 348713031272430 is 34272130317843.

It is a self number, because there is not a number n which added to its sum of digits gives 348713031272430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1888405605 + ... + 1888590255.

It is an arithmetic number, because the mean of its divisors is an integer number (7141518766512).

Almost surely, 2348713031272430 is an apocalyptic number.

348713031272430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

348713031272430 is an abundant number, since it is smaller than the sum of its proper divisors (565401370841106).

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

348713031272430 is a wasteful number, since it uses less digits than its factorization.

348713031272430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191662.

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 348713031272430 in words is "three hundred forty-eight trillion, seven hundred thirteen billion, thirty-one million, two hundred seventy-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 947 1894 2841 4735 5682 6043 9470 10417 12086 14205 18129 20834 28410 30215 31251 36258 52085 60430 62502 66473 90645 104170 132946 156255 181290 184651 199419 312510 332365 369302 398838 553953 664730 923255 997095 1107906 1846510 1994190 2031161 2769765 4062322 5539530 5722721 6093483 10155805 11445442 12186966 17168163 20311610 28613605 30467415 34336326 57227210 60934830 62949931 85840815 125899862 171681630 174864497 188849793 314749655 349728994 377699586 524593491 629499310 874322485 944248965 1049186982 1115845993 1748644970 1888497930 1923509467 2231691986 2622967455 3347537979 3847018934 5245934910 5579229965 5770528401 6695075958 9617547335 11158459930 11541056802 12274305923 16737689895 19235094670 24548611846 28852642005 33475379790 36822917769 57705284010 61371529615 73645835538 122743059230 184114588845 368229177690 1056706155371 2113412310742 3170118466113 5283530776855 6340236932226 10567061553710 11623767709081 15850592330565 23247535418162 31701184661130 34871303127243 58118838545405 69742606254486 116237677090810 174356515636215 348713031272430