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234063721136 = 247431033891213
BaseRepresentation
bin1101100111111101001…
…0001111001010110000
3211101011022012000021202
43121333102033022300
512313330303034021
6255305525510332
722624213542230
oct3317722171260
9741138160252
10234063721136
11902a1961053
12394435723a8
13190c258659b
14b486109cc0
15614dc0da0b
hex367f48f2b0

234063721136 has 160 divisors (see below), whose sum is σ = 537305134080. Its totient is φ = 96699681792.

The previous prime is 234063721117. The next prime is 234063721147. The reversal of 234063721136 is 631127360432.

It is a self number, because there is not a number n which added to its sum of digits gives 234063721136.

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, 192962066 + ... + 192963278.

It is an arithmetic number, because the mean of its divisors is an integer number (3358157088).

Almost surely, 2234063721136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234063721136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268652567040).

234063721136 is an abundant number, since it is smaller than the sum of its proper divisors (303241412944).

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

234063721136 is a wasteful number, since it uses less digits than its factorization.

234063721136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 234063721136 in words is "two hundred thirty-four billion, sixty-three million, seven hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 103 112 172 206 301 344 389 412 602 688 721 778 824 1204 1213 1442 1556 1648 2408 2426 2723 2884 3112 4429 4816 4852 5446 5768 6224 8491 8858 9704 10892 11536 16727 16982 17716 19408 21784 31003 33454 33964 35432 40067 43568 52159 62006 66908 67928 70864 80134 104318 117089 124012 124939 133816 135856 160268 208636 234178 248024 249878 267632 280469 320536 365113 417272 468356 471857 496048 499756 560938 641072 730226 834544 874573 936712 943714 999512 1121876 1460452 1722881 1749146 1873424 1887428 1999024 2243752 2920904 3302999 3445762 3498292 3774856 4487504 5372377 5841808 6605998 6891524 6996584 7549712 10744754 12060167 13211996 13783048 13993168 20289851 21489508 24120334 26423992 27566096 37606639 40579702 42979016 48240668 48601271 52847984 75213278 81159404 85958032 96481336 97202542 142028957 150426556 162318808 192962672 194405084 284057914 300853112 324637616 340208897 388810168 568115828 601706224 680417794 777620336 1136231656 1360835588 2089854653 2272463312 2721671176 4179709306 5443342352 8359418612 14628982571 16718837224 29257965142 33437674448 58515930284 117031860568 234063721136