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14103081674448 = 2431359996739019
BaseRepresentation
bin1100110100111010000100…
…1011000110011011010000
31211221020112000021120121220
43031032201023012123100
53322031102402040243
645554511041045040
72653625340210504
oct315164113063320
954836460246556
1014103081674448
1145480a0a36378
1216b9331626780
137b3bb80434a0
1436a8428b6304
15196cc0961783
hexcd3a12c66d0

14103081674448 has 160 divisors (see below), whose sum is σ = 39342648576000. Its totient is φ = 4327574404608.

The previous prime is 14103081674447. The next prime is 14103081674501. The reversal of 14103081674448 is 84447618030141.

It is a super-2 number, since 2×141030816744482 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14103081674448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14103081674447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361421883 + ... + 361460901.

It is an arithmetic number, because the mean of its divisors is an integer number (245891553600).

Almost surely, 214103081674448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14103081674448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671324288000).

14103081674448 is an abundant number, since it is smaller than the sum of its proper divisors (25239566901552).

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

14103081674448 is a wasteful number, since it uses less digits than its factorization.

14103081674448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40609 (or 40603 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 14103081674448 in words is "fourteen trillion, one hundred three billion, eighty-one million, six hundred seventy-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 599 624 967 1198 1797 1934 2396 2901 3594 3868 4792 5802 7188 7736 7787 9584 11604 12571 14376 15472 15574 23208 23361 25142 28752 31148 37713 39019 46416 46722 50284 62296 75426 78038 93444 100568 117057 124592 150852 156076 186888 201136 234114 301704 312152 373776 468228 507247 579233 603408 624304 936456 1014494 1158466 1521741 1737699 1872912 2028988 2316932 3043482 3475398 4057976 4633864 6086964 6950796 7530029 8115952 9267728 12173928 13901592 15060058 22590087 23372381 24347856 27803184 30120116 37731373 45180174 46744762 60240232 70117143 75462746 90360348 93489524 113194119 120480464 140234286 150925492 180720696 186979048 226388238 280468572 301850984 303840953 361441392 373958096 452776476 490507849 560937144 603701968 607681906 905552952 911522859 981015698 1121874288 1215363812 1471523547 1811105904 1823045718 1962031396 2430727624 2943047094 3646091436 3924062792 4861455248 5886094188 7292182872 7848125584 11772188376 14584365744 22601092427 23544376752 45202184854 67803277281 90404369708 135606554562 180808739416 271213109124 293814201551 361617478832 542426218248 587628403102 881442604653 1084852436496 1175256806204 1762885209306 2350513612408 3525770418612 4701027224816 7051540837224 14103081674448