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14031430010430 = 2357314451484243
BaseRepresentation
bin1100110000101111001001…
…1001101100011000111110
31211200101120111000220122220
43030023302121230120332
53314342332040313210
645501541105150210
72645510626133040
oct314136231543076
954611514026586
1014031430010430
11451a772495718
1216a747562b366
137aa209674461
143671a679ba90
15194eca348c70
hexcc2f266c63e

14031430010430 has 128 divisors (see below), whose sum is σ = 39736706236416. Its totient is φ = 3103022736000.

The previous prime is 14031430010413. The next prime is 14031430010449. The reversal of 14031430010430 is 3401003413041.

It is a self number, because there is not a number n which added to its sum of digits gives 14031430010430.

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 63 ways as a sum of consecutive naturals, for example, 28733889 + ... + 29218131.

It is an arithmetic number, because the mean of its divisors is an integer number (310443017472).

Almost surely, 214031430010430 is an apocalyptic number.

14031430010430 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 14031430010430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868353118208).

14031430010430 is an abundant number, since it is smaller than the sum of its proper divisors (25705276225986).

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

14031430010430 is a wasteful number, since it uses less digits than its factorization.

14031430010430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488742.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14031430010430 its reverse (3401003413041), we get a palindrome (17432433423471).

The spelling of 14031430010430 in words is "fourteen trillion, thirty-one billion, four hundred thirty million, ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 4451 6510 8902 13353 22255 26706 31157 44510 62314 66765 93471 133530 137981 155785 186942 275962 311570 413943 467355 484243 689905 827886 934710 965867 968486 1379810 1452729 1931734 2069715 2421215 2897601 2905458 3389701 4139430 4829335 4842430 5795202 6779402 7263645 9658670 10169103 14488005 14527290 15011533 16948505 20338206 28976010 30023066 33897010 45034599 50845515 75057665 90069198 101691030 105080731 150115330 210161462 225172995 315242193 450345990 525403655 630484386 1050807310 1576210965 2155365593 3152421930 4310731186 6466096779 10776827965 12932193558 15087559151 21553655930 30175118302 32330483895 45262677453 64660967790 66816333383 75437795755 90525354906 133632666766 150875591510 200449000149 226313387265 334081666915 400898000298 452626774530 467714333681 668163333830 935428667362 1002245000745 1403143001043 2004490001490 2338571668405 2806286002086 4677143336810 7015715005215 14031430010430