Search a number
-
+
234371721456 = 24335319951439
BaseRepresentation
bin1101101001000110100…
…1001010100011110000
3211101221202202001022000
43122101221022203300
512314443130041311
6255400251214000
722634643522315
oct3322151124360
9741852661260
10234371721456
119043a7aa274
123950a747300
13191413259b2
14b4b4da2d0c
15616ac9d056
hex3691a4a8f0

234371721456 has 160 divisors (see below), whose sum is σ = 688884480000. Its totient is φ = 76263213312.

The previous prime is 234371721439. The next prime is 234371721461. The reversal of 234371721456 is 654127173432.

It is a happy number.

234371721456 is a `hidden beast` number, since 2 + 3 + 437 + 1 + 72 + 145 + 6 = 666.

It is a congruent number.

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, 4530585 + ... + 4582023.

It is an arithmetic number, because the mean of its divisors is an integer number (4305528000).

Almost surely, 2234371721456 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 234371721456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344442240000).

234371721456 is an abundant number, since it is smaller than the sum of its proper divisors (454512758544).

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

234371721456 is a wasteful number, since it uses less digits than its factorization.

234371721456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51708 (or 51696 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

Adding to 234371721456 its reverse (654127173432), we get a palindrome (888498894888).

The spelling of 234371721456 in words is "two hundred thirty-four billion, three hundred seventy-one million, seven hundred twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 199 212 216 318 398 424 432 477 597 636 796 848 954 1194 1272 1431 1592 1791 1908 2388 2544 2862 3184 3582 3816 4776 5373 5724 7164 7632 9552 10547 10746 11448 14328 21094 21492 22896 28656 31641 42188 42984 51439 63282 84376 85968 94923 102878 126564 154317 168752 189846 205756 253128 284769 308634 379692 411512 462951 506256 569538 617268 759384 823024 925902 1139076 1234536 1388853 1518768 1851804 2278152 2469072 2726267 2777706 3703608 4556304 5452534 5555412 7407216 8178801 10236361 10905068 11110824 16357602 20472722 21810136 22221648 24536403 30709083 32715204 40945444 43620272 49072806 61418166 65430408 73609209 81890888 92127249 98145612 122836332 130860816 147218418 163781776 184254498 196291224 245672664 276381747 294436836 368508996 392582448 491345328 542527133 552763494 588873672 737017992 1085054266 1105526988 1177747344 1474035984 1627581399 2170108532 2211053976 3255162798 4340217064 4422107952 4882744197 6510325596 8680434128 9765488394 13020651192 14648232591 19530976788 26041302384 29296465182 39061953576 58592930364 78123907152 117185860728 234371721456