Search a number
-
+
234040232042240 = 2851314064917791
BaseRepresentation
bin110101001101101110111100…
…111001001101111100000000
31010200200000202011201000121012
4311031232330321031330000
5221134003343400322430
62145432333123020052
7100203564061521011
oct6515567471157400
91120600664630535
10234040232042240
11686329a5631858
12222ba69420a628
13a078b8c671ac0
1441b1871641008
151c0cdcbd93695
hexd4dbbce4df00

234040232042240 has 72 divisors (see below), whose sum is σ = 603722531303808. Its totient is φ = 86414854901760.

The previous prime is 234040232042179. The next prime is 234040232042291. The reversal of 234040232042240 is 42240232040432.

It is a super-2 number, since 2×2340402320422402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 234040232042197 and 234040232042206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7032442256 + ... + 7032475535.

Almost surely, 2234040232042240 is an apocalyptic number.

234040232042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234040232042240 is an abundant number, since it is smaller than the sum of its proper divisors (369682299261568).

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

234040232042240 is a wasteful number, since it uses less digits than its factorization.

234040232042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064917825 (or 14064917811 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 234040232042240 its reverse (42240232040432), we get a palindrome (276280464082672).

The spelling of 234040232042240 in words is "two hundred thirty-four trillion, forty billion, two hundred thirty-two million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 14064917791 28129835582 56259671164 70324588955 112519342328 140649177910 182843931283 225038684656 281298355820 365687862566 450077369312 562596711640 731375725132 900154738624 914219656415 1125193423280 1462751450264 1800309477248 1828439312830 2250386846560 2925502900528 3600618954496 3656878625660 4500773693120 5851005801056 7313757251320 9001547386240 11702011602112 14627514502640 18003094772480 23404023204224 29255029005280 46808046408448 58510058010560 117020116021120 234040232042240