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34542302145 = 35138317911923
BaseRepresentation
bin100000001010111000…
…011011001111000001
310022011022102202111220
4200022320123033001
51031220312132040
623511333225253
72331663503151
oct401270331701
9108138382456
1034542302145
111371625794a
126840192229
133346460250
141959806761
15d727c12d0
hex80ae1b3c1

34542302145 has 64 divisors (see below), whose sum is σ = 60577735680. Its totient is φ = 16705297152.

The previous prime is 34542302117. The next prime is 34542302147. The reversal of 34542302145 is 54120324543.

It is a de Polignac number, because none of the positive numbers 2k-34542302145 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34542302147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2891154 + ... + 2903076.

It is an arithmetic number, because the mean of its divisors is an integer number (946527120).

Almost surely, 234542302145 is an apocalyptic number.

It is an amenable number.

34542302145 is a deficient number, since it is larger than the sum of its proper divisors (26035433535).

34542302145 is a wasteful number, since it uses less digits than its factorization.

34542302145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12206.

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 34542302145 its reverse (54120324543), we get a palindrome (88662626688).

The spelling of 34542302145 in words is "thirty-four billion, five hundred forty-two million, three hundred two thousand, one hundred forty-five".

Divisors: 1 3 5 13 15 39 65 83 179 195 249 415 537 895 1079 1245 2327 2685 3237 5395 6981 11635 11923 14857 16185 34905 35769 44571 59615 74285 154999 178845 193141 222855 464997 579423 774995 965705 989609 2134217 2324985 2897115 2968827 4948045 6402651 10671085 12864917 14844135 27744821 32013255 38594751 64324585 83234463 138724105 177140011 192973755 416172315 531420033 885700055 2302820143 2657100165 6908460429 11514100715 34542302145