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349431101745 = 35112192524023
BaseRepresentation
bin1010001010110111011…
…01110111100100110001
31020101221110021011200020
411011123231313210301
521211113330223440
6424305413114053
734150141233525
oct5053355674461
91211843234606
10349431101745
11125213824700
125787b928929
1326c49a7233b
1412cac0a3d85
15915212b3d0
hex515bb77931

349431101745 has 24 divisors (see below), whose sum is σ = 614536684608. Its totient is φ = 169421139360.

The previous prime is 349431101743. The next prime is 349431101783. The reversal of 349431101745 is 547101134943.

It is not a de Polignac number, because 349431101745 - 21 = 349431101743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 349431101697 and 349431101706.

It is not an unprimeable number, because it can be changed into a prime (349431101743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96260197 + ... + 96263826.

It is an arithmetic number, because the mean of its divisors is an integer number (25605695192).

Almost surely, 2349431101745 is an apocalyptic number.

It is an amenable number.

349431101745 is a deficient number, since it is larger than the sum of its proper divisors (265105582863).

349431101745 is a wasteful number, since it uses less digits than its factorization.

349431101745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192524053 (or 192524042 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 349431101745 in words is "three hundred forty-nine billion, four hundred thirty-one million, one hundred one thousand, seven hundred forty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1815 192524023 577572069 962620115 2117764253 2887860345 6353292759 10588821265 23295406783 31766463795 69886220349 116477033915 349431101745