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14095534336 = 281331317431
BaseRepresentation
bin11010010000010100…
…01100100100000000
31100101100020100001021
431020022030210000
5212331424044321
610250404115224
71006205031202
oct151012144400
940340210037
1014095534336
115a8361a634
122894695b14
13143834ab80
1497a064772
15577704941
hex34828c900

14095534336 has 144 divisors (see below), whose sum is σ = 31449212928. Its totient is φ = 6261350400.

The previous prime is 14095534331. The next prime is 14095534357. The reversal of 14095534336 is 63343559041.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14095534292 and 14095534301.

It is not an unprimeable number, because it can be changed into a prime (14095534331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32704041 + ... + 32704471.

It is an arithmetic number, because the mean of its divisors is an integer number (218397312).

Almost surely, 214095534336 is an apocalyptic number.

14095534336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14095534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724606464).

14095534336 is an abundant number, since it is smaller than the sum of its proper divisors (17353678592).

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

14095534336 is a wasteful number, since it uses less digits than its factorization.

14095534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 43.

The spelling of 14095534336 in words is "fourteen billion, ninety-five million, five hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 317 403 416 431 496 634 806 832 862 992 1268 1612 1664 1724 1984 2536 3224 3328 3448 3968 4121 5072 5603 6448 6896 7936 8242 9827 10144 11206 12896 13361 13792 16484 19654 20288 22412 25792 26722 27584 32968 39308 40576 44824 51584 53444 55168 65936 78616 81152 89648 103168 106888 110336 127751 131872 136627 157232 173693 179296 213776 255502 263744 273254 314464 347386 358592 427552 511004 527488 546508 628928 694772 717184 855104 1022008 1054976 1093016 1257856 1389544 1434368 1710208 1776151 2044016 2186032 2515712 2779088 3420416 3552302 4088032 4235437 4372064 5558176 7104604 8176064 8470874 8744128 11116352 14209208 16352128 16941748 17488256 22232704 28418416 32704256 33883496 34976512 44465408 55060681 56836832 67766992 110121362 113673664 135533984 220242724 227347328 271067968 440485448 454694656 542135936 880970896 1084271872 1761941792 3523883584 7047767168 14095534336