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34540441050 = 23521719712909
BaseRepresentation
bin100000001010110001…
…010100110111011010
310022011011221012120110
4200022301110313122
51031214323103200
623511225305150
72331641622213
oct401261246732
9108134835513
1034540441050
11137151a6655
12683b6351b6
133345c5b0cb
14195948040a
15d72554b50
hex80ac54dda

34540441050 has 96 divisors (see below), whose sum is σ = 95472907200. Its totient is φ = 8212700160.

The previous prime is 34540441049. The next prime is 34540441051. The reversal of 34540441050 is 5014404543.

It is an interprime number because it is at equal distance from previous prime (34540441049) and next prime (34540441051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34540440999 and 34540441017.

It is not an unprimeable number, because it can be changed into a prime (34540441051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308005 + ... + 404904.

It is an arithmetic number, because the mean of its divisors is an integer number (994509450).

Almost surely, 234540441050 is an apocalyptic number.

34540441050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34540441050 is an abundant number, since it is smaller than the sum of its proper divisors (60932466150).

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

34540441050 is a wasteful number, since it uses less digits than its factorization.

34540441050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712960 (or 712955 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 34540441050 its reverse (5014404543), we get a palindrome (39554845593).

The spelling of 34540441050 in words is "thirty-four billion, five hundred forty million, four hundred forty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 19 25 30 34 38 50 51 57 75 85 95 102 114 150 170 190 255 285 323 425 475 510 570 646 850 950 969 1275 1425 1615 1938 2550 2850 3230 4845 8075 9690 16150 24225 48450 712909 1425818 2138727 3564545 4277454 7129090 10693635 12119453 13545271 17822725 21387270 24238906 27090542 35645450 36358359 40635813 53468175 60597265 67726355 72716718 81271626 106936350 121194530 135452710 181791795 203179065 230269607 302986325 338631775 363583590 406358130 460539214 605972650 677263550 690808821 908958975 1015895325 1151348035 1381617642 1817917950 2031790650 2302696070 3454044105 5756740175 6908088210 11513480350 17270220525 34540441050