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34511420350 = 252112173071093
BaseRepresentation
bin100000001001000010…
…100111101110111110
310022002011022210122201
4200021002213232332
51031134410422400
623504311302114
72331140142601
oct401102475676
9108064283581
1034511420350
11136aa884a00
12683197a93a
13333cc39ab4
141955688338
15d6ec2106a
hex8090a7bbe

34511420350 has 144 divisors (see below), whose sum is σ = 75019667184. Its totient is φ = 11762150400.

The previous prime is 34511420303. The next prime is 34511420357. The reversal of 34511420350 is 5302411543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34511420357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31574404 + ... + 31575496.

It is an arithmetic number, because the mean of its divisors is an integer number (520969911).

Almost surely, 234511420350 is an apocalyptic number.

34511420350 is an abundant number, since it is smaller than the sum of its proper divisors (40508246834).

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

34511420350 is a wasteful number, since it uses less digits than its factorization.

34511420350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 34511420350 its reverse (5302411543), we get a palindrome (39813831893).

The spelling of 34511420350 in words is "thirty-four billion, five hundred eleven million, four hundred twenty thousand, three hundred fifty".

Divisors: 1 2 5 10 11 17 22 25 34 50 55 85 110 121 170 187 242 275 307 374 425 550 605 614 850 935 1093 1210 1535 1870 2057 2186 3025 3070 3377 4114 4675 5219 5465 6050 6754 7675 9350 10285 10438 10930 12023 15350 16885 18581 20570 24046 26095 27325 33770 37147 37162 51425 52190 54650 57409 60115 74294 84425 92905 102850 114818 120230 130475 132253 168850 185735 185810 204391 260950 264506 287045 300575 335551 371470 408782 464525 574090 601150 631499 661265 671102 928675 929050 1021955 1262998 1322530 1435225 1677755 1857350 2043910 2248301 2870450 3157495 3306325 3355510 3691061 4496602 5109775 5704367 6314990 6612650 7382122 8388775 10219550 11241505 11408734 15787475 16777550 18455305 22483010 28521835 31574950 36910610 40601671 56207525 57043670 62748037 81203342 92276525 112415050 125496074 142609175 184553050 203008355 285218350 313740185 406016710 627480370 690228407 1015041775 1380456814 1568700925 2030083550 3137401850 3451142035 6902284070 17255710175 34511420350