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14259241315641 = 3723173109339217
BaseRepresentation
bin1100111101111111110100…
…0000110110110100111001
31212111011121001012021201110
43033133331000312310321
53332110411234100031
650154334404110533
73001124202233400
oct317377500666471
955434531167643
1014259241315641
1145a8345a92083
121723653095449
137c5843784a3a
14374218350637
1519adb01aec46
hexcf7fd036d39

14259241315641 has 96 divisors (see below), whose sum is σ = 23164306848768. Its totient is φ = 7769963335680.

The previous prime is 14259241315639. The next prime is 14259241315667. The reversal of 14259241315641 is 14651314295241.

It is a happy number.

It is not a de Polignac number, because 14259241315641 - 21 = 14259241315639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14259241315681) 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, 363578865 + ... + 363618081.

It is an arithmetic number, because the mean of its divisors is an integer number (241294863008).

Almost surely, 214259241315641 is an apocalyptic number.

It is an amenable number.

14259241315641 is a deficient number, since it is larger than the sum of its proper divisors (8905065533127).

14259241315641 is a wasteful number, since it uses less digits than its factorization.

14259241315641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40431 (or 40424 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 14259241315641 in words is "fourteen trillion, two hundred fifty-nine billion, two hundred forty-one million, three hundred fifteen thousand, six hundred forty-one".

Divisors: 1 3 7 21 31 49 73 93 147 217 219 511 651 1093 1519 1533 2263 3279 3577 4557 6789 7651 10731 15841 22953 33883 39217 47523 53557 79789 101649 110887 117651 160671 237181 239367 274519 332661 558523 711543 823557 1215727 1660267 1675569 1921633 2473459 2862841 3647181 3909661 4980801 5764899 7420377 8510089 8588523 11728983 17314213 20039887 25530267 42864181 51942639 59570623 60119661 88748071 121199491 128592543 140279209 178711869 266244213 300049267 363598473 420837627 621236497 900147801 1328789611 1863709491 2100344869 3129085213 3986368833 4348655479 6301034607 9301527277 9387255639 13045966437 21903596491 27904581831 65110690939 65710789473 97001641603 153325175437 195332072817 291004924809 459975526311 679011491221 2037034473663 4753080438547 14259241315641