Search a number
-
+
231573041424 = 243343107116507
BaseRepresentation
bin1101011110101011010…
…1000011000100010000
3211010201201112101001000
43113222311003010100
512243230144311144
6254214433542000
722505411242314
oct3275265030420
9733651471030
10231573041424
118a233a4356a
1238a69414900
1318ab656b4ca
14b2cb403b44
156055224769
hex35ead43110

231573041424 has 160 divisors (see below), whose sum is σ = 686521059840. Its totient is φ = 74690598528.

The previous prime is 231573041411. The next prime is 231573041449. The reversal of 231573041424 is 424140375132.

231573041424 is a `hidden beast` number, since 2 + 3 + 1 + 573 + 0 + 41 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 1929379 + ... + 2045885.

It is an arithmetic number, because the mean of its divisors is an integer number (4290756624).

Almost surely, 2231573041424 is an apocalyptic number.

231573041424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231573041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343260529920).

231573041424 is an abundant number, since it is smaller than the sum of its proper divisors (454948018416).

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

231573041424 is a wasteful number, since it uses less digits than its factorization.

231573041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116674 (or 116662 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 231573041424 in words is "two hundred thirty-one billion, five hundred seventy-three million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 107 108 129 144 172 214 216 258 321 344 387 428 432 516 642 688 774 856 963 1032 1161 1284 1548 1712 1926 2064 2322 2568 2889 3096 3852 4601 4644 5136 5778 6192 7704 9202 9288 11556 13803 15408 18404 18576 23112 27606 36808 41409 46224 55212 73616 82818 110424 116507 124227 165636 220848 233014 248454 331272 349521 466028 496908 662544 699042 932056 993816 1048563 1398084 1864112 1987632 2097126 2796168 3145689 4194252 5009801 5592336 6291378 8388504 10019602 12466249 12582756 15029403 16777008 20039204 24932498 25165512 30058806 37398747 40078408 45088209 49864996 50331024 60117612 74797494 80156816 90176418 99729992 112196241 120235224 135264627 149594988 180352836 199459984 224392482 240470448 270529254 299189976 336588723 360705672 448784964 536048707 541058508 598379952 673177446 721411344 897569928 1072097414 1082117016 1346354892 1608146121 1795139856 2144194828 2164234032 2692709784 3216292242 4288389656 4824438363 5385419568 6432584484 8576779312 9648876726 12865168968 14473315089 19297753452 25730337936 28946630178 38595506904 57893260356 77191013808 115786520712 231573041424