Search a number
-
+
4233314323744 = 2511172137331043
BaseRepresentation
bin111101100110100101001…
…100100100110100100000
3112222200220221202101020221
4331212211030210310200
51023324311431324434
613000431401412424
7614563322016322
oct75464514446440
915880827671227
104233314323744
11139237a634330
1258454049a114
1324927a0388bc
14108c71ad3612
15751b8eda2b4
hex3d9a5324d20

4233314323744 has 96 divisors (see below), whose sum is σ = 9631362355776. Its totient is φ = 1810190622720.

The previous prime is 4233314323729. The next prime is 4233314323751. The reversal of 4233314323744 is 4473234133324.

It is a happy number.

It is a super-2 number, since 2×42333143237442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4233314323744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12622287 + ... + 12953329.

It is an arithmetic number, because the mean of its divisors is an integer number (100326691206).

Almost surely, 24233314323744 is an apocalyptic number.

4233314323744 is a gapful number since it is divisible by the number (44) 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 4233314323744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815681177888).

4233314323744 is an abundant number, since it is smaller than the sum of its proper divisors (5398048032032).

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

4233314323744 is a wasteful number, since it uses less digits than its factorization.

4233314323744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333218 (or 333210 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 43.

The spelling of 4233314323744 in words is "four trillion, two hundred thirty-three billion, three hundred fourteen million, three hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2137 2992 4274 5984 8548 17096 23507 34192 36329 47014 68384 72658 94028 145316 188056 290632 331043 376112 399619 581264 662086 752224 799238 1162528 1324172 1598476 2648344 3196952 3641473 5296688 5627731 6393904 7282946 10593376 11255462 12787808 14565892 22510924 29131784 45021848 58263568 61905041 90043696 116527136 123810082 180087392 247620164 495240328 707438891 990480656 1414877782 1980961312 2829755564 5659511128 7781827801 11319022256 12026461147 15563655602 22638044512 24052922294 31127311204 48105844588 62254622408 96211689176 124509244816 132291072617 192423378352 249018489632 264582145234 384846756704 529164290468 1058328580936 2116657161872 4233314323744