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14442400441032 = 233653921541631
BaseRepresentation
bin1101001000101010001000…
…1001011110001011001000
31220010200100201101220022020
43102022202021132023020
53343111014003103112
650414425215524440
73020300101143534
oct322124211361310
956120321356266
1014442400441032
114668a95599993
12175304a829720
13809bb2a56145
1437d031934bc4
151a0a2ede048c
hexd22a225e2c8

14442400441032 has 32 divisors (see below), whose sum is σ = 36161293639680. Its totient is φ = 4806761142080.

The previous prime is 14442400440967. The next prime is 14442400441033. The reversal of 14442400441032 is 23014400424441.

It is a junction number, because it is equal to n+sod(n) for n = 14442400440984 and 14442400441002.

It is not an unprimeable number, because it can be changed into a prime (14442400441033) 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, 460755144 + ... + 460786487.

It is an arithmetic number, because the mean of its divisors is an integer number (1130040426240).

Almost surely, 214442400441032 is an apocalyptic number.

14442400441032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14442400441032 is an abundant number, since it is smaller than the sum of its proper divisors (21718893198648).

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

14442400441032 is a wasteful number, since it uses less digits than its factorization.

14442400441032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921542293 (or 921542289 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 14442400441032 its reverse (23014400424441), we get a palindrome (37456800865473).

The spelling of 14442400441032 in words is "fourteen trillion, four hundred forty-two billion, four hundred million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 653 1306 1959 2612 3918 5224 7836 15672 921541631 1843083262 2764624893 3686166524 5529249786 7372333048 11058499572 22116999144 601766685043 1203533370086 1805300055129 2407066740172 3610600110258 4814133480344 7221200220516 14442400441032