Search a number
-
+
23421402984 = 2337231762827
BaseRepresentation
bin10101110100000001…
…100011111101101000
32020110021111112210210
4111310001203331220
5340431334343414
614432025541120
71456255432500
oct256401437550
966407445723
1023421402984
119a298537a1
1246579447a0
132293485645
1411c2864a00
159212eee59
hex574063f68

23421402984 has 96 divisors (see below), whose sum is σ = 68329219680. Its totient is φ = 6670613376.

The previous prime is 23421402947. The next prime is 23421403003. The reversal of 23421402984 is 48920412432.

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 23 ways as a sum of consecutive naturals, for example, 341379 + ... + 404205.

It is an arithmetic number, because the mean of its divisors is an integer number (711762705).

Almost surely, 223421402984 is an apocalyptic number.

23421402984 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 23421402984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34164609840).

23421402984 is an abundant number, since it is smaller than the sum of its proper divisors (44907816696).

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

23421402984 is a wasteful number, since it uses less digits than its factorization.

23421402984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63167 (or 63156 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

It can be divided in two parts, 2342 and 1402984, that added together give a triangular number (1405326 = T1676).

The spelling of 23421402984 in words is "twenty-three billion, four hundred twenty-one million, four hundred two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 317 392 588 634 951 1176 1268 1902 2219 2536 3804 4438 6657 7608 8876 13314 15533 17752 26628 31066 46599 53256 62132 62827 93198 124264 125654 186396 188481 251308 372792 376962 439789 502616 753924 879578 1319367 1507848 1759156 2638734 3078523 3518312 5277468 6157046 9235569 10554936 12314092 18471138 19916159 24628184 36942276 39832318 59748477 73884552 79664636 119496954 139413113 159329272 238993908 278826226 418239339 477987816 557652452 836478678 975891791 1115304904 1672957356 1951783582 2927675373 3345914712 3903567164 5855350746 7807134328 11710701492 23421402984