Search a number
-
+
14369260470318 = 2331379541478931
BaseRepresentation
bin1101000100011001101010…
…1010101000000000101110
31212212200120110122102101000
43101012122222220000232
53340411221140022233
650321051440301130
73012100445512365
oct321063252500056
955780513572330
1014369260470318
11463aa72a253a6
121740a383117a6
13803027c2a370
14379693cbc7dc
1519db9dcdcd13
hexd119aaa802e

14369260470318 has 128 divisors (see below), whose sum is σ = 34887705753600. Its totient is φ = 4357266825600.

The previous prime is 14369260470311. The next prime is 14369260470427. The reversal of 14369260470318 is 81307406296341.

14369260470318 is a `hidden beast` number, since 1 + 4 + 3 + 69 + 260 + 4 + 7 + 0 + 318 = 666.

It is a super-2 number, since 2×143692604703182 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14369260470311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29763313 + ... + 30242243.

It is an arithmetic number, because the mean of its divisors is an integer number (272560201200).

Almost surely, 214369260470318 is an apocalyptic number.

14369260470318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14369260470318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443852876800).

14369260470318 is an abundant number, since it is smaller than the sum of its proper divisors (20518445283282).

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

14369260470318 is a wasteful number, since it uses less digits than its factorization.

14369260470318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479575 (or 479569 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 14369260470318 in words is "fourteen trillion, three hundred sixty-nine billion, two hundred sixty million, four hundred seventy thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 117 158 234 237 351 474 541 702 711 1027 1082 1422 1623 2054 2133 3081 3246 4266 4869 6162 7033 9243 9738 14066 14607 18486 21099 27729 29214 42198 42739 55458 63297 85478 126594 128217 189891 256434 379782 384651 478931 555607 769302 957862 1111214 1153953 1436793 1666821 2307906 2873586 3333642 4310379 5000463 6226103 8620758 10000926 12452206 12931137 15001389 18678309 25862274 30002778 37356618 37835549 56034927 75671098 112069854 113506647 168104781 227013294 259101671 336209562 340519941 491862137 518203342 681039882 777305013 983724274 1021559823 1475586411 1554610026 2043119646 2331915039 2951172822 3368321723 4426759233 4663830078 6736643446 6995745117 8853518466 10104965169 13280277699 13991490234 20209930338 20469032009 26560555398 30314895507 40938064018 60629791014 61407096027 90944686521 122814192054 181889373042 184221288081 266097416117 368442576162 532194832234 552663864243 798292248351 1105327728486 1596584496702 2394876745053 4789753490106 7184630235159 14369260470318