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234431264130 = 23579299411277
BaseRepresentation
bin1101101001010100110…
…0010011010110000010
3211102002220210010111020
43122111030103112002
512320103400423010
6255410215330310
722636265603160
oct3322514232602
9742086703436
10234431264130
1190470378598
1239526680996
131915077274b
14b4bcc62230
156171110470
hex3695313582

234431264130 has 128 divisors (see below), whose sum is σ = 644892295680. Its totient is φ = 53427855360.

The previous prime is 234431264113. The next prime is 234431264167. The reversal of 234431264130 is 31462134432.

It is a junction number, because it is equal to n+sod(n) for n = 234431264091 and 234431264100.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 183579052 + ... + 183580328.

It is an arithmetic number, because the mean of its divisors is an integer number (5038221060).

Almost surely, 2234431264130 is an apocalyptic number.

234431264130 is an abundant number, since it is smaller than the sum of its proper divisors (410461031550).

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

234431264130 is a wasteful number, since it uses less digits than its factorization.

234431264130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 234431264130 its reverse (31462134432), we get a palindrome (265893398562).

The spelling of 234431264130 in words is "two hundred thirty-four billion, four hundred thirty-one million, two hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 929 941 1277 1858 1882 2554 2787 2823 3831 4645 4705 5574 5646 6385 6503 6587 7662 8939 9290 9410 12770 13006 13174 13935 14115 17878 19155 19509 19761 26817 27870 28230 32515 32935 38310 39018 39522 44695 53634 65030 65870 89390 97545 98805 134085 195090 197610 268170 874189 1186333 1201657 1748378 2372666 2403314 2622567 3558999 3604971 4370945 5245134 5931665 6008285 6119323 7117998 7209942 8304331 8411599 8741890 11863330 12016570 12238646 13112835 16608662 16823198 17794995 18024855 18357969 24912993 25234797 26225670 30596615 35589990 36049710 36715938 41521655 42057995 49825986 50469594 61193230 83043310 84115990 91789845 124564965 126173985 183579690 249129930 252347970 1116339353 2232678706 3349018059 5581696765 6698036118 7814375471 11163393530 15628750942 16745090295 23443126413 33490180590 39071877355 46886252826 78143754710 117215632065 234431264130