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14404022430 = 2357191421853
BaseRepresentation
bin11010110101000101…
…11111000010011110
31101011211201011011020
431122202333002132
5213444412204210
610341144105010
71016642112330
oct153242770236
941154634136
1014404022430
116121771276
12295ba65166
13148722b2c5
149a9007450
1559483d770
hex35a8bf09e

14404022430 has 128 divisors (see below), whose sum is σ = 39856029696. Its totient is φ = 3263500800.

The previous prime is 14404022419. The next prime is 14404022431. The reversal of 14404022430 is 3422040441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14404022430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404022431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16885884 + ... + 16886736.

It is an arithmetic number, because the mean of its divisors is an integer number (311375232).

Almost surely, 214404022430 is an apocalyptic number.

14404022430 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 14404022430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928014848).

14404022430 is an abundant number, since it is smaller than the sum of its proper divisors (25452007266).

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

14404022430 is a wasteful number, since it uses less digits than its factorization.

14404022430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14404022430 its reverse (3422040441), we get a palindrome (17826062871).

The spelling of 14404022430 in words is "fourteen billion, four hundred four million, twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 191 210 382 421 573 842 853 955 1146 1263 1337 1706 1910 2105 2526 2559 2674 2865 2947 4011 4210 4265 5118 5730 5894 5971 6315 6685 8022 8530 8841 11942 12630 12795 13370 14735 17682 17913 20055 25590 29470 29855 35826 40110 44205 59710 80411 88410 89565 160822 162923 179130 241233 325846 359113 402055 482466 488769 562877 718226 804110 814615 977538 1077339 1125754 1140461 1206165 1629230 1688631 1795565 2154678 2280922 2412330 2443845 2513791 2814385 3377262 3421383 3591130 4887690 5027582 5386695 5628770 5702305 6842766 7541373 8443155 10773390 11404610 12568955 15082746 16886310 17106915 25137910 34213830 37706865 68590583 75413730 137181166 205771749 342952915 411543498 480134081 685905830 960268162 1028858745 1440402243 2057717490 2400670405 2880804486 4801340810 7202011215 14404022430