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14213779398 = 2347138871087
BaseRepresentation
bin11010011110011010…
…10000111111000110
31100200120201210210000
431033031100333012
5213102211420043
610310230342130
71012142063040
oct151715207706
940616653700
1014213779398
116034342925
1229081ba946
1314569ac070
1498ba44a90
15582cb02d3
hex34f350fc6

14213779398 has 160 divisors (see below), whose sum is σ = 39279550464. Its totient is φ = 3741018048.

The previous prime is 14213779379. The next prime is 14213779399. The reversal of 14213779398 is 89397731241.

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 (14213779399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13075611 + ... + 13076697.

Almost surely, 214213779398 is an apocalyptic number.

14213779398 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 14213779398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639775232).

14213779398 is an abundant number, since it is smaller than the sum of its proper divisors (25065771066).

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

14213779398 is a wasteful number, since it uses less digits than its factorization.

14213779398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1999 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 14213779398 in words is "fourteen billion, two hundred thirteen million, seven hundred seventy-nine thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 887 1053 1087 1134 1638 1774 2106 2174 2457 2661 3261 4914 5322 6209 6522 7371 7609 7983 9783 11531 12418 14131 14742 15218 15966 18627 19566 22827 23062 23949 28262 29349 34593 37254 42393 45654 47898 55881 58698 68481 69186 71847 80717 84786 88047 98917 103779 111762 127179 136962 143694 161434 167643 176094 197834 205443 207558 242151 254358 296751 311337 335286 381537 410886 484302 502929 593502 616329 622674 726453 763074 890253 934011 964169 1005858 1144611 1232658 1452906 1780506 1868022 1928338 2179359 2289222 2670759 2892507 4358718 5341518 5785014 6538077 6749183 8012277 8677521 12534197 13076154 13498366 16024554 17355042 20247549 25068394 26032563 37602591 40495098 52065126 60742647 75205182 78097689 87739379 112807773 121485294 156195378 175478758 182227941 225615546 263218137 338423319 364455882 526436274 546683823 676846638 789654411 1015269957 1093367646 1579308822 2030539914 2368963233 4737926466 7106889699 14213779398