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34135453107 = 347413074783
BaseRepresentation
bin11111110010101000…
…011010110110110011
310021002221212200120000
4133302220122312303
51024402133444412
623403121121043
72315623364310
oct376250326663
9107087780500
1034135453107
1113527634178
126747a89183
1332b0091382
14191b77bd07
15d4bc084dc
hex7f2a1adb3

34135453107 has 80 divisors (see below), whose sum is σ = 59905477632. Its totient is φ = 18964264320.

The previous prime is 34135453103. The next prime is 34135453133. The reversal of 34135453107 is 70135453143.

34135453107 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 545 + 3 + 107 = 666.

It is not a de Polignac number, because 34135453107 - 22 = 34135453103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34135453103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7134438 + ... + 7139220.

Almost surely, 234135453107 is an apocalyptic number.

34135453107 is a deficient number, since it is larger than the sum of its proper divisors (25770024525).

34135453107 is a wasteful number, since it uses less digits than its factorization.

34135453107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 34135453107 its sum of digits (36), we get a palindrome (34135453143).

The spelling of 34135453107 in words is "thirty-four billion, one hundred thirty-five million, four hundred fifty-three thousand, one hundred seven".

Divisors: 1 3 7 9 21 27 41 63 81 123 189 287 307 369 567 861 921 1107 2149 2583 2763 3321 4783 6447 7749 8289 12587 14349 19341 23247 24867 33481 37761 43047 58023 88109 100443 113283 129141 174069 196103 264327 301329 339849 387423 588309 792981 903987 1019547 1372721 1468381 1764927 2378943 2711961 4118163 4405143 5294781 7136829 10278667 12354489 13215429 15884343 30836001 37063467 39646287 60203621 92508003 111190401 118938861 180610863 277524009 421425347 541832589 832572027 1264276041 1625497767 3792828123 4876493301 11378484369 34135453107