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234031130432 = 26114148716649
BaseRepresentation
bin1101100111110101010…
…1111010011101000000
3211101002000212020020122
43121331111322131000
512313243432133212
6255302403155412
722623336533501
oct3317525723500
9741060766218
10234031130432
1190285521190
1239434675b68
13190b88b5348
14b481a64ba8
15614ae22272
hex367d57a740

234031130432 has 112 divisors (see below), whose sum is σ = 520077801600. Its totient is φ = 103563878400.

The previous prime is 234031130429. The next prime is 234031130521.

234031130432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2340311304322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14048444 + ... + 14065092.

It is an arithmetic number, because the mean of its divisors is an integer number (4643551800).

Almost surely, 2234031130432 is an apocalyptic number.

234031130432 is a gapful number since it is divisible by the number (22) 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 234031130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260038900800).

234031130432 is an abundant number, since it is smaller than the sum of its proper divisors (286046671168).

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

234031130432 is a wasteful number, since it uses less digits than its factorization.

234031130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17200 (or 17190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 234031 and 130432, that added together give a palindrome (364463).

The spelling of 234031130432 in words is "two hundred thirty-four billion, thirty-one million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 487 656 704 902 974 1312 1804 1948 2624 3608 3896 5357 7216 7792 10714 14432 15584 16649 19967 21428 28864 31168 33298 39934 42856 66596 79868 85712 133192 159736 171424 183139 219637 266384 319472 342848 366278 439274 532768 638944 682609 732556 878548 1065536 1277888 1365218 1465112 1757096 2730436 2930224 3514192 5460872 5860448 7028384 7508699 8108063 10921744 11720896 14056768 15017398 16216126 21843488 30034796 32432252 43686976 60069592 64864504 89188693 120139184 129729008 178377386 240278368 259458016 332430583 356754772 480556736 518916032 664861166 713509544 1329722332 1427019088 2659444664 2854038176 3656736413 5318889328 5708076352 7313472826 10637778656 14626945652 21275557312 29253891304 58507782608 117015565216 234031130432