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14332103313440 = 2551120993879581
BaseRepresentation
bin1101000010001111001111…
…1011010100100000100000
31212202010122220220021111112
43100203303323110200200
53334304121422012230
650252024413402452
73006313611056063
oct320436373244040
955663586807445
1014332103313440
114626235757490
1217357a8499428
137cc685b259c3
1437796b0c88da
1519cc26ba4d95
hexd08f3ed4820

14332103313440 has 96 divisors (see below), whose sum is σ = 36955346299200. Its totient is φ = 5209189657600.

The previous prime is 14332103313431. The next prime is 14332103313497. The reversal of 14332103313440 is 4431330123341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14332103313397 and 14332103313406.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1754450 + ... + 5634030.

It is an arithmetic number, because the mean of its divisors is an integer number (384951523950).

Almost surely, 214332103313440 is an apocalyptic number.

14332103313440 is a gapful number since it is divisible by the number (10) 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 14332103313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477673149600).

14332103313440 is an abundant number, since it is smaller than the sum of its proper divisors (22623242985760).

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

14332103313440 is a wasteful number, since it uses less digits than its factorization.

14332103313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881706 (or 3881698 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 14332103313440 its reverse (4431330123341), we get a palindrome (18763433436781).

The spelling of 14332103313440 in words is "fourteen trillion, three hundred thirty-two billion, one hundred three million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2099 4198 8396 10495 16792 20990 23089 33584 41980 46178 67168 83960 92356 115445 167920 184712 230890 335840 369424 461780 738848 923560 1847120 3694240 3879581 7759162 15518324 19397905 31036648 38795810 42675391 62073296 77591620 85350782 124146592 155183240 170701564 213376955 310366480 341403128 426753910 620732960 682806256 853507820 1365612512 1707015640 3414031280 6828062560 8143240519 16286481038 32572962076 40716202595 65145924152 81432405190 89575645709 130291848304 162864810380 179151291418 260583696608 325729620760 358302582836 447878228545 651459241520 716605165672 895756457090 1302918483040 1433210331344 1791512914180 2866420662688 3583025828360 7166051656720 14332103313440