Search a number
-
+
14141074453443 = 32719389138121991
BaseRepresentation
bin1100110111000111100110…
…1110000011001111000011
31212001212120210101201112200
43031301321232003033003
53323141410030002233
650024153034124243
72656442002413150
oct315617156031703
955055523351480
1014141074453443
114562217965583
121704775280683
137b76612c09c2
1436c608669227
15197c9610b313
hexcdc79b833c3

14141074453443 has 96 divisors (see below), whose sum is σ = 24654756172800. Its totient is φ = 7629762988800.

The previous prime is 14141074453399. The next prime is 14141074453489. The reversal of 14141074453443 is 34435447014141.

14141074453443 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 0 + 74 + 4 + 534 + 43 = 666.

It is a Cunningham number, because it is equal to 37604622-1.

It is not a de Polignac number, because 14141074453443 - 242 = 9743027942339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14141074457443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643028178 + ... + 643050168.

It is an arithmetic number, because the mean of its divisors is an integer number (256820376800).

Almost surely, 214141074453443 is an apocalyptic number.

14141074453443 is a deficient number, since it is larger than the sum of its proper divisors (10513681719357).

14141074453443 is a wasteful number, since it uses less digits than its factorization.

14141074453443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23793 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 14141074453443 in words is "fourteen trillion, one hundred forty-one billion, seventy-four million, four hundred fifty-three thousand, four hundred forty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 389 399 1167 1197 1381 2723 3501 4143 7391 8169 9667 12429 21991 22173 24507 26239 29001 51737 65973 66519 78717 87003 153937 155211 183673 197919 236151 417829 461811 465633 537209 551019 1253487 1385433 1611627 1653057 2924803 3760461 3760463 4834881 8554499 8774409 10206971 11281389 25663497 26323227 30369571 30620913 33844167 59881493 71448797 76990491 91108713 91862739 162535481 179644479 212586997 214346391 273326139 487606443 538933437 577021849 637760991 643039173 1137748367 1462819329 1731065547 1913282973 3413245101 4039152943 5193196641 10239735303 11813763119 12117458829 35441289357 36352376487 82696341833 106323868071 224461499261 248089025499 673384497783 744267076497 1571230494827 2020153493349 4713691484481 14141074453443