Search a number
-
+
14234707856190 = 2357389128356923
BaseRepresentation
bin1100111100100100011010…
…1101001000101100111110
31212101211021021011102020010
43033021012231020230332
53331210140202344230
650135200131004050
72666265221251503
oct317110655105476
955354237142203
1014234707856190
1145989a6539958
12171a946a39626
137c3433ab9b23
14372d6bd2d4aa
1519a4264469b0
hexcf246b48b3e

14234707856190 has 128 divisors (see below), whose sum is σ = 35048316280320. Its totient is φ = 3698906314752.

The previous prime is 14234707856177. The next prime is 14234707856219. The reversal of 14234707856190 is 9165870743241.

It is a super-2 number, since 2×142347078561902 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14234707856190.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250041069 + ... + 250097991.

It is an arithmetic number, because the mean of its divisors is an integer number (273814970940).

It is a 2-persistent number, because it is pandigital, and so is 2⋅14234707856190 = 28469415712380, but 3⋅14234707856190 = 42704123568570 is not.

Almost surely, 214234707856190 is an apocalyptic number.

14234707856190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14234707856190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524158140160).

14234707856190 is an abundant number, since it is smaller than the sum of its proper divisors (20813608424130).

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

14234707856190 is a wasteful number, since it uses less digits than its factorization.

14234707856190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58378.

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 14234707856190 in words is "fourteen trillion, two hundred thirty-four billion, seven hundred seven million, eight hundred fifty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 73 89 146 178 219 267 365 438 445 534 730 890 1095 1283 1335 2190 2566 2670 3849 6415 6497 7698 12830 12994 19245 19491 32485 38490 38982 56923 64970 93659 97455 113846 114187 170769 187318 194910 228374 280977 284615 341538 342561 468295 561954 569230 570935 685122 853845 936590 1141870 1404885 1707690 1712805 2809770 3425610 4155379 5066147 8310758 8335651 10132294 12466137 15198441 16671302 20776895 24932274 25006953 25330735 30396882 41553790 41678255 50013906 50661470 62330685 73032209 75992205 83356510 124661370 125034765 146064418 151984410 219096627 250069530 365161045 369828731 438193254 730322090 739657462 1095483135 1109486193 1849143655 2190966270 2218972386 3698287310 5331351257 5547430965 6499866601 10662702514 11094861930 12999733202 15994053771 19499599803 26656756285 31988107542 32499333005 38999199606 53313512570 64998666010 79970268855 97497999015 159940537710 194995998030 474490261873 948980523746 1423470785619 2372451309365 2846941571238 4744902618730 7117353928095 14234707856190