Search a number
-
+
14348883101784 = 23372111109221019
BaseRepresentation
bin1101000011001101110000…
…0101001000100001011000
31212210201222100000211210220
43100303130011020201120
53340043003033224114
650303441430440040
73010446461652600
oct320633405104130
955721870024726
1014348883101784
114632366488860
121738aabb03020
1380112b30624a
143786bd843c00
1519d3a9d7e0a9
hexd0cdc148858

14348883101784 has 96 divisors (see below), whose sum is σ = 45522430660800. Its totient is φ = 3726982620480.

The previous prime is 14348883101767. The next prime is 14348883101789. The reversal of 14348883101784 is 48710138884341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14348883101789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554597574 + ... + 554623445.

It is an arithmetic number, because the mean of its divisors is an integer number (474191986050).

Almost surely, 214348883101784 is an apocalyptic number.

14348883101784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14348883101784 is an abundant number, since it is smaller than the sum of its proper divisors (31173547559016).

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

14348883101784 is a wasteful number, since it uses less digits than its factorization.

14348883101784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109221053 (or 1109221042 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 14348883101784 in words is "fourteen trillion, three hundred forty-eight billion, eight hundred eighty-three million, one hundred one thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 1109221019 2218442038 3327663057 4436884076 6655326114 7764547133 8873768152 12201431209 13310652228 15529094266 23293641399 24402862418 26621304456 31058188532 36604293627 46587282798 48805724836 54351829931 62116377064 73208587254 85410018463 93174565596 97611449672 108703659862 146417174508 163055489793 170820036926 186349131192 217407319724 256230055389 292834349016 326110979586 341640073852 434814639448 512460110778 597870129241 652221959172 683280147704 1024920221556 1195740258482 1304443918344 1793610387723 2049840443112 2391480516964 3587220775446 4782961033928 7174441550892 14348883101784