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14131330023040 = 275151146226511
BaseRepresentation
bin1100110110100011010011…
…1001111111111010000000
31212000221102200112100222221
43031220310321333322000
53323011430441214130
650015502101140424
72655645350211106
oct315506471777200
955027380470887
1014131330023040
11455907743880a
1217028b59ba714
137b676a546059
1436bd62431c76
151978c58d287a
hexcda34e7fe80

14131330023040 has 64 divisors (see below), whose sum is σ = 34006437630720. Its totient is φ = 5615097984000.

The previous prime is 14131330023023. The next prime is 14131330023043. The reversal of 14131330023040 is 4032003313141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14131330022996 and 14131330023014.

It is not an unprimeable number, because it can be changed into a prime (14131330023043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73016616 + ... + 73209895.

It is an arithmetic number, because the mean of its divisors is an integer number (531350587980).

Almost surely, 214131330023040 is an apocalyptic number.

14131330023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131330023040 is an abundant number, since it is smaller than the sum of its proper divisors (19875107607680).

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

14131330023040 is a wasteful number, since it uses less digits than its factorization.

14131330023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146226681 (or 146226669 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 14131330023040 its reverse (4032003313141), we get a palindrome (18163333336181).

The spelling of 14131330023040 in words is "fourteen trillion, one hundred thirty-one billion, three hundred thirty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 302 320 604 640 755 1208 1510 2416 3020 4832 6040 9664 12080 19328 24160 48320 96640 146226511 292453022 584906044 731132555 1169812088 1462265110 2339624176 2924530220 4679248352 5849060440 9358496704 11698120880 18716993408 22080203161 23396241760 44160406322 46792483520 88320812644 93584967040 110401015805 176641625288 220802031610 353283250576 441604063220 706566501152 883208126440 1413133002304 1766416252880 2826266004608 3532832505760 7065665011520 14131330023040