Search a number
-
+
126310120454430 = 232511413111853177
BaseRepresentation
bin11100101110000011011101…
…110111000111100100011110
3121120020010111110122222010100
4130232003131313013210132
5113023431111314020210
61124350022425321530
735414414351106033
oct3456033567074436
9546203443588110
10126310120454430
113727890410a090
12121bb8b79362a6
135562cbb22b533
14232962a11b38a
15e909395005c0
hex72e0dddc791e

126310120454430 has 96 divisors (see below), whose sum is σ = 366999516400608. Its totient is φ = 29873790489600.

The previous prime is 126310120454423. The next prime is 126310120454467. The reversal of 126310120454430 is 34454021013621.

126310120454430 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 1 + 0 + 1 + 204 + 5 + 443 + 0 = 666.

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, 1555885999 + ... + 1555967178.

It is an arithmetic number, because the mean of its divisors is an integer number (3822911629173).

Almost surely, 2126310120454430 is an apocalyptic number.

126310120454430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126310120454430 is an abundant number, since it is smaller than the sum of its proper divisors (240689395946178).

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

126310120454430 is a wasteful number, since it uses less digits than its factorization.

126310120454430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111853242 (or 3111853239 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 126310120454430 in words is "one hundred twenty-six trillion, three hundred ten billion, one hundred twenty million, four hundred fifty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2255 2706 3690 4059 4510 6765 8118 13530 20295 40590 3111853177 6223706354 9335559531 15559265885 18671119062 28006678593 31118531770 34230384947 46677797655 56013357186 68460769894 93355595310 102691154841 127585980257 140033392965 171151924735 205382309682 255171960514 280066785930 308073464523 342303849470 382757940771 513455774205 616146929046 637929901285 765515881542 1026911548410 1148273822313 1275859802570 1403445782827 1540367322615 1913789703855 2296547644626 2806891565654 3080734645230 3827579407710 4210337348481 5741369111565 7017228914135 8420674696962 11482738223130 12631012045443 14034457828270 21051686742405 25262024090886 42103373484810 63155060227215 126310120454430