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14133634348743 = 3271343211238311
BaseRepresentation
bin1100110110101011111001…
…0000010011011011000111
31212001011101021112020121100
43031222332100103123013
53323031140343124433
650020522454551143
72656056430516620
oct315527620233307
955034337466540
1014133634348743
11455a04a143818
1217032396684b3
137b6a46a740a0
1436c1004a8a47
151979acd5ab13
hexcdabe4136c7

14133634348743 has 144 divisors (see below), whose sum is σ = 25750391407104. Its totient is φ = 7274369773440.

The previous prime is 14133634348711. The next prime is 14133634348783. The reversal of 14133634348743 is 34784343633141.

14133634348743 is a `hidden beast` number, since 1 + 4 + 1 + 33 + 63 + 434 + 87 + 43 = 666.

It is not a de Polignac number, because 14133634348743 - 25 = 14133634348711 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14133634348743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133634348783) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1700589558 + ... + 1700597868.

Almost surely, 214133634348743 is an apocalyptic number.

14133634348743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

14133634348743 is a deficient number, since it is larger than the sum of its proper divisors (11616757058361).

14133634348743 is a wasteful number, since it uses less digits than its factorization.

14133634348743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9546 (or 9500 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 54.

The spelling of 14133634348743 in words is "fourteen trillion, one hundred thirty-three billion, six hundred thirty-four million, three hundred forty-eight thousand, seven hundred forty-three".

Divisors: 1 3 7 9 13 21 39 43 63 91 117 129 273 301 387 559 819 903 1123 1677 1849 2709 3369 3913 5031 5547 7861 8311 10107 11739 12943 14599 16641 23583 24037 24933 35217 38829 43797 48289 58177 70749 72111 74799 102193 108043 116487 131391 144867 168259 174531 216333 306579 324129 338023 357373 434601 504777 523593 627757 756301 919737 972387 1014069 1072119 1514331 1883271 2076427 2268903 2501611 3042207 3216357 4394299 4645849 5649813 6229281 6806709 7504833 9333253 13182897 13937547 14534989 15367039 18687843 22514499 26993551 27999759 32520943 39548691 41812641 43604967 46101117 65332771 80980653 83999277 97562829 107569273 121332289 130814901 138303351 188954857 195998313 199771507 242941959 292688487 322707819 363996867 401329879 566864571 587994939 599314521 849326023 968123457 1091990601 1203989637 1398400549 1700593713 1797943563 2547978069 2809309153 3611968911 4195201647 5217288427 7643934207 8427927459 12585604941 15651865281 17257184797 25283782377 36521018989 46955595843 51771554391 109563056967 120800293579 155314663173 224343402361 328689170901 362400880737 673030207083 1087202642211 1570403816527 2019090621249 4711211449581 14133634348743