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14331321330432 = 28388131196791
BaseRepresentation
bin1101000010001100010101…
…0100010010101100000000
31212202001122102110102110220
43100203011110102230000
53334301021230033212
650251415041023040
73006255334242201
oct320430524225400
955661572412426
1014331321330432
114625974302037
12173560a624a80
137cc58cb10772
143778d52cd5a8
1519cbcd1db38c
hexd08c5512b00

14331321330432 has 144 divisors (see below), whose sum is σ = 38203376440320. Its totient is φ = 4769452441600.

The previous prime is 14331321330427. The next prime is 14331321330479. The reversal of 14331321330432 is 23403312313341.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14331321330393 and 14331321330402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110336957 + ... + 2110343747.

It is an arithmetic number, because the mean of its divisors is an integer number (265301225280).

Almost surely, 214331321330432 is an apocalyptic number.

14331321330432 is a gapful number since it is divisible by the number (12) 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 14331321330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19101688220160).

14331321330432 is an abundant number, since it is smaller than the sum of its proper divisors (23872055109888).

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

14331321330432 is an equidigital number, since it uses as much as digits as its factorization.

14331321330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 14331321330432 its reverse (23403312313341), we get a palindrome (37734633643773).

The spelling of 14331321330432 in words is "fourteen trillion, three hundred thirty-one billion, three hundred twenty-one million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 881 1762 2643 3119 3524 5286 6238 6791 7048 9357 10572 12476 13582 14096 18714 20373 21144 24952 27164 28192 37428 40746 42288 49904 54328 56384 74856 81492 84576 99808 108656 112768 149712 162984 169152 199616 217312 225536 299424 325968 338304 399232 434624 598848 651936 676608 798464 869248 1197696 1303872 1738496 2395392 2607744 2747839 5215488 5495678 5982871 8243517 10991356 11965742 16487034 17948613 21181129 21982712 23931484 32974068 35897226 42362258 43965424 47862968 63543387 65948136 71794452 84724516 87930848 95725936 127086774 131896272 143588904 169449032 175861696 191451872 254173548 263792544 287177808 338898064 351723392 382903744 508347096 527585088 574355616 677796128 703446784 765807488 1016694192 1055170176 1148711232 1355592256 1531614976 2033388384 2110340352 2297422464 2711184512 4066776768 4594844928 5422369024 8133553536 16267107072 18660574649 37321149298 55981723947 74642298596 111963447894 149284597192 223926895788 298569194384 447853791576 597138388768 895707583152 1194276777536 1791415166304 2388553555072 3582830332608 4777107110144 7165660665216 14331321330432