Search a number
-
+
14043121033440 = 253543680383771
BaseRepresentation
bin1100110001011010101100…
…1111011010000011100000
31211201111202020202102021010
43030112223033122003200
53320040302441032230
645511153140300520
72646403426161162
oct314265317320340
954644666672233
1014043121033440
1145247217a1304
1216a97989a1740
137ab3507b7155
1436799534a932
151954618d59b0
hexcc5ab3da0e0

14043121033440 has 96 divisors (see below), whose sum is σ = 45264571583616. Its totient is φ = 3657743147520.

The previous prime is 14043121033439. The next prime is 14043121033457. The reversal of 14043121033440 is 4433012134041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14043121033398 and 14043121033407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340171246 + ... + 340212525.

It is an arithmetic number, because the mean of its divisors is an integer number (471505953996).

Almost surely, 214043121033440 is an apocalyptic number.

14043121033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14043121033440 is an abundant number, since it is smaller than the sum of its proper divisors (31221450550176).

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

14043121033440 is a wasteful number, since it uses less digits than its factorization.

14043121033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680383832 (or 680383824 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14043121033440 its reverse (4433012134041), we get a palindrome (18476133167481).

The spelling of 14043121033440 in words is "fourteen trillion, forty-three billion, one hundred twenty-one million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 680383771 1360767542 2041151313 2721535084 3401918855 4082302626 5443070168 6803837710 8164605252 10205756565 10886140336 13607675420 16329210504 20411513130 21772280672 27215350840 29256502153 32658421008 40823026260 54430701680 58513004306 65316842016 81646052520 87769506459 108861403360 117026008612 146282510765 163292105040 175539012918 234052017224 292565021530 326584210080 351078025836 438847532295 468104034448 585130043060 702156051672 877695064590 936208068896 1170260086120 1404312103344 1755390129180 2340520172240 2808624206688 3510780258360 4681040344480 7021560516720 14043121033440