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14103340434300 = 22352135236914419
BaseRepresentation
bin1100110100111011000010…
…0110001100001101111100
31211221021012001011221102010
43031032300212030031330
53322032120122344200
645554552443131220
72653634631505425
oct315166046141574
954837161157363
1014103340434300
114548214002497
1216b93a4213b10
137b3c29832120
1436a868dd264c
15196cd8526150
hexcd3b098c37c

14103340434300 has 144 divisors (see below), whose sum is σ = 44028592684160. Its totient is φ = 3464953148160.

The previous prime is 14103340434221. The next prime is 14103340434301. The reversal of 14103340434300 is 343404330141.

14103340434300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141033404343002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14103340434301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417510 + ... + 5496909.

Almost surely, 214103340434300 is an apocalyptic number.

14103340434300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14103340434300 is an abundant number, since it is smaller than the sum of its proper divisors (29925252249860).

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

14103340434300 is a wasteful number, since it uses less digits than its factorization.

14103340434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914972 (or 6914965 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 14103340434300 its reverse (343404330141), we get a palindrome (14446744764441).

The spelling of 14103340434300 in words is "fourteen trillion, one hundred three billion, three hundred forty million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 523 650 780 975 1046 1300 1569 1950 2092 2615 3138 3900 5230 6276 6799 7845 10460 13075 13598 15690 20397 26150 27196 31380 33995 39225 40794 52300 67990 78450 81588 101985 135980 156900 169975 203970 339950 407940 509925 679900 1019850 2039700 6914419 13828838 20743257 27657676 34572095 41486514 69144190 82973028 89887447 103716285 138288380 172860475 179774894 207432570 269662341 345720950 359549788 414865140 449437235 518581425 539324682 691441900 898874470 1037162850 1078649364 1348311705 1797748940 2074325700 2247186175 2696623410 3616241137 4494372350 5393246820 6741558525 7232482274 8988744700 10848723411 13483117050 14464964548 18081205685 21697446822 26966234100 36162411370 43394893644 47011134781 54243617055 72324822740 90406028425 94022269562 108487234110 141033404343 180812056850 188044539124 216974468220 235055673905 271218085275 282066808686 361624113700 470111347810 542436170550 564133617372 705167021715 940222695620 1084872341100 1175278369525 1410334043430 2350556739050 2820668086860 3525835108575 4701113478100 7051670217150 14103340434300