Search a number
-
+
14209759753005 = 3517235383550763
BaseRepresentation
bin1100111011000111011110…
…1011101011001100101101
31212022102212120220110110110
43032301313223223030231
53330303041444044010
650115512402330233
72664423044005005
oct316616753531455
955272776813413
1014209759753005
114589363a29763
121715b43959979
137c0c892541ab
14371a82815005
151999660c6120
hexcec77aeb32d

14209759753005 has 128 divisors (see below), whose sum is σ = 25902016745472. Its totient is φ = 6613232857088.

The previous prime is 14209759753003. The next prime is 14209759753037. The reversal of 14209759753005 is 50035795790241.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 14209759753005 - 21 = 14209759753003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14209759753003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25524754 + ... + 26075516.

It is an arithmetic number, because the mean of its divisors is an integer number (202359505824).

Almost surely, 214209759753005 is an apocalyptic number.

14209759753005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14209759753005 is a deficient number, since it is larger than the sum of its proper divisors (11692256992467).

14209759753005 is a wasteful number, since it uses less digits than its factorization.

14209759753005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550947.

The product of its (nonzero) digits is 11907000, while the sum is 57.

The spelling of 14209759753005 in words is "fourteen trillion, two hundred nine billion, seven hundred fifty-nine million, seven hundred fifty-three thousand, five".

Divisors: 1 3 5 15 17 23 51 53 69 83 85 115 159 249 255 265 345 391 415 795 901 1173 1219 1245 1411 1909 1955 2703 3657 4233 4399 4505 5727 5865 6095 7055 9545 13197 13515 18285 20723 21165 21995 28635 32453 62169 65985 74783 97359 101177 103615 162265 224349 303531 310845 373915 486795 505885 550763 1121745 1517655 1652289 1720009 2753815 5160027 8261445 8600045 9362971 12667549 25800135 28088913 29190439 38002647 45713329 46814855 63337745 87571317 137139987 140444565 145952195 190013235 215348333 228566645 437856585 496237463 646044999 671380097 685699935 777126593 1051406567 1076741665 1488712389 2014140291 2331379779 2422806437 2481187315 3154219701 3230224995 3356900485 3885632965 5257032835 7268419311 7443561945 10070701455 11413461649 11656898895 12114032185 15771098505 17873911639 34240384947 36342096555 41187709429 53621734917 55724548051 57067308245 89369558195 123563128287 167173644153 171201924735 205938547145 268108674585 278622740255 617815641435 835868220765 947317316867 2841951950601 4736586584335 14209759753005