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14435041554345 = 357397443306781
BaseRepresentation
bin1101001000001110101110…
…0001100010111110101001
31220002222100212100201112110
43102003223201202332221
53343000431114214340
650411211101232533
73016616533505436
oct322035341427651
956088325321473
1014435041554345
114665959700455
121751736262749
138092ac2a5119
1437c934476b8d
151a074dd34680
hexd20eb862fa9

14435041554345 has 64 divisors (see below), whose sum is σ = 23707288329984. Its totient is φ = 7497958440960.

The previous prime is 14435041554299. The next prime is 14435041554379. The reversal of 14435041554345 is 54345514053441.

14435041554345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14435041554345 - 29 = 14435041553833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14435041554294 and 14435041554303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46899855 + ... + 47206635.

It is an arithmetic number, because the mean of its divisors is an integer number (370426380156).

Almost surely, 214435041554345 is an apocalyptic number.

14435041554345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14435041554345 is a deficient number, since it is larger than the sum of its proper divisors (9272246775639).

14435041554345 is a wasteful number, since it uses less digits than its factorization.

14435041554345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307402.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 14435041554345 in words is "fourteen trillion, four hundred thirty-five billion, forty-one million, five hundred fifty-four thousand, three hundred forty-five".

Divisors: 1 3 5 15 73 97 219 291 365 443 485 1095 1329 1455 2215 6645 7081 21243 32339 35405 42971 97017 106215 128913 161695 214855 306781 485085 644565 920343 1533905 3136883 4601715 9410649 15684415 22395013 29757757 47053245 67185039 89273271 111975065 135903983 148788785 335925195 407711949 446366355 679519915 2038559745 2172316261 6516948783 9920990759 10861581305 13182686351 29762972277 32584743915 39548059053 49604953795 65913431755 148814861385 197740295265 962336103623 2887008310869 4811680518115 14435041554345