Search a number
-
+
34243663511310 = 23511991104711077
BaseRepresentation
bin1111100100100111110010…
…11001100011111100001110
311111020122212210021100011020
413302103321121203330032
513442022010324330220
6200455153303535010
710133010622152201
oct762237131437416
9144218783240136
1034243663511310
11aa0272435a160
123a1079975a466
1316152185c5776
1486558b73b938
153e5b5264a040
hex1f24f9663f0e

34243663511310 has 64 divisors (see below), whose sum is σ = 89746608420864. Its totient is φ = 8293117219200.

The previous prime is 34243663511293. The next prime is 34243663511333. The reversal of 34243663511310 is 1311536634243.

It is a super-2 number, since 2×342436635113102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52028509 + ... + 52682568.

It is an arithmetic number, because the mean of its divisors is an integer number (1402290756576).

Almost surely, 234243663511310 is an apocalyptic number.

34243663511310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34243663511310 is an abundant number, since it is smaller than the sum of its proper divisors (55502944909554).

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

34243663511310 is a wasteful number, since it uses less digits than its factorization.

34243663511310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104712089.

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 34243663511310 in words is "thirty-four trillion, two hundred forty-three billion, six hundred sixty-three million, five hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 991 1982 2973 4955 5946 9910 10901 14865 21802 29730 32703 54505 65406 109010 163515 327030 104711077 209422154 314133231 523555385 628266462 1047110770 1151821847 1570666155 2303643694 3141332310 3455465541 5759109235 6910931082 11518218470 17277327705 34554655410 103768677307 207537354614 311306031921 518843386535 622612063842 1037686773070 1141455450377 1556530159605 2282910900754 3113060319210 3424366351131 5707277251885 6848732702262 11414554503770 17121831755655 34243663511310