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14440402322430 = 2357293896095543
BaseRepresentation
bin1101001000100010101100…
…0011010000001111111110
31220010111012110120221212120
43102020223003100033332
53343042420443304210
650413455041143410
73020166426336060
oct322105303201776
956114173527776
1014440402322430
11466815a7178a7
12175279162ab66
13809954aba246
1437ccc2409730
151a09647a0270
hexd222b0d03fe

14440402322430 has 128 divisors (see below), whose sum is σ = 41079090124800. Its totient is φ = 3178654477824.

The previous prime is 14440402322419. The next prime is 14440402322447. The reversal of 14440402322430 is 3422320404441.

It is a super-2 number, since 2×144404023224302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14440402322391 and 14440402322400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678762 + ... + 5416781.

It is an arithmetic number, because the mean of its divisors is an integer number (320930391600).

Almost surely, 214440402322430 is an apocalyptic number.

14440402322430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14440402322430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539545062400).

14440402322430 is an abundant number, since it is smaller than the sum of its proper divisors (26638687802370).

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

14440402322430 is a wasteful number, since it uses less digits than its factorization.

14440402322430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095978.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 14440402322430 its reverse (3422320404441), we get a palindrome (17862722726871).

The spelling of 14440402322430 in words is "fourteen trillion, four hundred forty billion, four hundred two million, three hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 389 406 435 609 778 870 1015 1167 1218 1945 2030 2334 2723 3045 3890 5446 5835 6090 8169 11281 11670 13615 16338 22562 27230 33843 40845 56405 67686 78967 81690 112810 157934 169215 236901 338430 394835 473802 789670 1184505 2369010 6095543 12191086 18286629 30477715 36573258 42668801 60955430 85337602 91433145 128006403 176770747 182866290 213344005 256012806 353541494 426688010 530312241 640032015 883853735 1060624482 1237395229 1280064030 1767707470 2371166227 2474790458 2651561205 3712185687 4742332454 5303122410 6186976145 7113498681 7424371374 11855831135 12373952290 14226997362 16598163589 18560928435 23711662270 33196327178 35567493405 37121856870 49794490767 68763820583 71134986810 82990817945 99588981534 137527641166 165981635890 206291461749 248972453835 343819102915 412582923498 481346744081 497944907670 687638205830 962693488162 1031457308745 1444040232243 2062914617490 2406733720405 2888080464486 4813467440810 7220201161215 14440402322430