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14013234332240 = 24511131224933071
BaseRepresentation
bin1100101111101011010111…
…0110101100001001010000
31211121122121101122200121212
43023322311312230021100
53314043100442112430
645445331352435252
72644265003333423
oct313726566541120
954548541580555
1014013234332240
114512a85502350
1216a3a379a8b28
137a8599a40a80
1436635bd959ba
151947b2bdbb95
hexcbeb5dac250

14013234332240 has 80 divisors (see below), whose sum is σ = 38276708633856. Its totient is φ = 4703742988800.

The previous prime is 14013234332233. The next prime is 14013234332243. The reversal of 14013234332240 is 4223343231041.

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

It is a junction number, because it is equal to n+sod(n) for n = 14013234332197 and 14013234332206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013234332243) by changing a digit.

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, 612455096 + ... + 612477975.

Almost surely, 214013234332240 is an apocalyptic number.

14013234332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013234332240 is an abundant number, since it is smaller than the sum of its proper divisors (24263474301616).

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

14013234332240 is a wasteful number, since it uses less digits than its factorization.

14013234332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224933108 (or 1224933102 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 14013234332240 its reverse (4223343231041), we get a palindrome (18236577563281).

The spelling of 14013234332240 in words is "fourteen trillion, thirteen billion, two hundred thirty-four million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 1224933071 2449866142 4899732284 6124665355 9799464568 12249330710 13474263781 15924129923 19598929136 24498661420 26948527562 31848259846 48997322840 53897055124 63696519692 67371318905 79620649615 97994645680 107794110248 127393039384 134742637810 159241299230 175165429153 215588220496 254786078768 269485275620 318482598460 350330858306 538970551240 636965196920 700661716612 875827145765 1077941102480 1273930393840 1401323433224 1751654291530 2802646866448 3503308583060 7006617166120 14013234332240