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234543404130 = 235723311915569
BaseRepresentation
bin1101101001101111100…
…0000101010001100010
3211102101201210102122120
43122123320011101202
512320321102413010
6255425303045110
722642130020020
oct3323370052142
9742351712576
10234543404130
1190518700a82
1239558140796
131916aa76b89
14b4cdad3710
15617adb1e70
hex369be05462

234543404130 has 128 divisors (see below), whose sum is σ = 671547801600. Its totient is φ = 51259321344.

The previous prime is 234543404119. The next prime is 234543404143. The reversal of 234543404130 is 31404345432.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 234543404091 and 234543404100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15056986 + ... + 15072554.

It is an arithmetic number, because the mean of its divisors is an integer number (5246467200).

Almost surely, 2234543404130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234543404130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335773900800).

234543404130 is an abundant number, since it is smaller than the sum of its proper divisors (437004397470).

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

234543404130 is a wasteful number, since it uses less digits than its factorization.

234543404130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18728.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 234543404130 its reverse (31404345432), we get a palindrome (265947749562).

The spelling of 234543404130 in words is "two hundred thirty-four billion, five hundred forty-three million, four hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 3119 4830 6238 9357 15569 15595 18714 21833 31138 31190 43666 46707 46785 65499 71737 77845 93414 93570 108983 109165 130998 143474 155690 215211 217966 218330 233535 326949 327495 358087 358685 430422 467070 502159 544915 653898 654990 716174 717370 1004318 1074261 1076055 1089830 1506477 1634745 1790435 2148522 2152110 2506609 2510795 3012954 3269490 3580870 5013218 5021590 5371305 7519827 7532385 10742610 12533045 15039654 15064770 25066090 37599135 48559711 75198270 97119422 145679133 242798555 291358266 339917977 485597110 679835954 728395665 1019753931 1116873353 1456791330 1699589885 2039507862 2233746706 3350620059 3399179770 5098769655 5584366765 6701240118 7818113471 10197539310 11168733530 15636226942 16753100295 23454340413 33506200590 39090567355 46908680826 78181134710 117271702065 234543404130