Search a number
-
+
23234402234340 = 223251198591190237
BaseRepresentation
bin1010100100001101011100…
…10010101010111111100100
310001021012001102220001012200
411102012232102222333210
511021133023432444330
6121225423111014500
74615426101264213
oct522065622527744
9101235042801180
1023234402234340
117448722383840
122732b9636a430
13cc6cc1560b8b
145a47a01bb07a
152a45a7da3a60
hex1521ae4aafe4

23234402234340 has 144 divisors (see below), whose sum is σ = 76892612247360. Its totient is φ = 5632006314240.

The previous prime is 23234402234333. The next prime is 23234402234377. The reversal of 23234402234340 is 4343220443232.

23234402234340 is a `hidden beast` number, since 2 + 3 + 234 + 40 + 2 + 2 + 343 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23234402234295 and 23234402234304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18925702 + ... + 20115938.

It is an arithmetic number, because the mean of its divisors is an integer number (533976473940).

Almost surely, 223234402234340 is an apocalyptic number.

23234402234340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23234402234340 is an abundant number, since it is smaller than the sum of its proper divisors (53658210013020).

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

23234402234340 is a wasteful number, since it uses less digits than its factorization.

23234402234340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200122 (or 1200117 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 23234402234340 its reverse (4343220443232), we get a palindrome (27577622677572).

The spelling of 23234402234340 in words is "twenty-three trillion, two hundred thirty-four billion, four hundred two million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 9859 19718 29577 39436 49295 59154 88731 98590 108449 118308 147885 177462 197180 216898 295770 325347 354924 433796 443655 542245 591540 650694 887310 976041 1084490 1190237 1301388 1626735 1774620 1952082 2168980 2380474 3253470 3570711 3904164 4760948 4880205 5951185 6506940 7141422 9760410 10712133 11902370 13092607 14282844 17853555 19520820 21424266 23804740 26185214 35707110 39277821 42848532 52370428 53560665 65463035 71414220 78555642 107121330 117833463 130926070 157111284 196389105 214242660 235666926 261852140 392778210 471333852 589167315 785556420 1178334630 2356669260 11734546583 23469093166 35203639749 46938186332 58672732915 70407279498 105610919247 117345465830 129080012413 140814558996 176018198745 211221838494 234690931660 258160024826 352036397490 387240037239 422443676988 516320049652 528054596235 645400062065 704072794980 774480074478 1056109192470 1161720111717 1290800124130 1548960148956 1936200186195 2112218384940 2323440223434 2581600248260 3872400372390 4646880446868 5808600558585 7744800744780 11617201117170 23234402234340