Search a number
-
+
14001211231440 = 243560079711733
BaseRepresentation
bin1100101110111110100100…
…1110001100110011010000
31211120111120111001212221020
43023233221032030303100
53313343440033401230
645440022335555440
72643361031554416
oct313575116146320
954514514055836
1014001211231440
114508975802804
1216a164138bb80
137a7401b7b644
1436593b2832b6
1519430c406810
hexcbbe938ccd0

14001211231440 has 80 divisors (see below), whose sum is σ = 43410984816768. Its totient is φ = 3733034393088.

The previous prime is 14001211231411. The next prime is 14001211231493. The reversal of 14001211231440 is 4413211210041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14001211231440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3414187 + ... + 6297546.

Almost surely, 214001211231440 is an apocalyptic number.

14001211231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001211231440 is an abundant number, since it is smaller than the sum of its proper divisors (29409773585328).

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

14001211231440 is a wasteful number, since it uses less digits than its factorization.

14001211231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9717756 (or 9717750 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14001211231440 its reverse (4413211210041), we get a palindrome (18414422441481).

The spelling of 14001211231440 in words is "fourteen trillion, one billion, two hundred eleven million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6007 12014 18021 24028 30035 36042 48056 60070 72084 90105 96112 120140 144168 180210 240280 288336 360420 480560 720840 1441680 9711733 19423466 29135199 38846932 48558665 58270398 77693864 97117330 116540796 145675995 155387728 194234660 233081592 291351990 388469320 466163184 582703980 776938640 1165407960 2330815920 58338380131 116676760262 175015140393 233353520524 291691900655 350030280786 466707041048 583383801310 700060561572 875075701965 933414082096 1166767602620 1400121123144 1750151403930 2333535205240 2800242246288 3500302807860 4667070410480 7000605615720 14001211231440