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23344240123232 = 257377873578947
BaseRepresentation
bin1010100111011010000010…
…01000111101110101100000
310001122200120020020220221122
411103231001020331311200
511024433000432420412
6121352110150111412
74626365014033430
oct523550110756540
9101580506226848
1023344240123232
117490266a6a426
12275032a94b568
1310044772ab442
145a9c1da422c0
152a7385b28572
hex153b4123dd60

23344240123232 has 96 divisors (see below), whose sum is σ = 54012681531648. Its totient is φ = 9721906177536.

The previous prime is 23344240123223. The next prime is 23344240123261. The reversal of 23344240123232 is 23232104244332.

It is a super-2 number, since 2×233442401232322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23344240123192 and 23344240123201.

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, 4733183 + ... + 8312129.

It is an arithmetic number, because the mean of its divisors is an integer number (562632099288).

Almost surely, 223344240123232 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 23344240123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27006340765824).

23344240123232 is an abundant number, since it is smaller than the sum of its proper divisors (30668441408416).

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

23344240123232 is a wasteful number, since it uses less digits than its factorization.

23344240123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579788 (or 3579780 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 23344240123232 its reverse (23232104244332), we get a palindrome (46576344367564).

The spelling of 23344240123232 in words is "twenty-three trillion, three hundred forty-four billion, two hundred forty million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 787 1036 1184 1574 2072 3148 4144 5509 6296 8288 11018 12592 22036 25184 29119 44072 58238 88144 116476 176288 203833 232952 407666 465904 815332 931808 1630664 3261328 3578947 6522656 7157894 14315788 25052629 28631576 50105258 57263152 100210516 114526304 132421039 200421032 264842078 400842064 529684156 801684128 926947273 1059368312 1853894546 2118736624 2816631289 3707789092 4237473248 5633262578 7415578184 11266525156 14831156368 19716419023 22533050312 29662312736 39432838046 45066100624 78865676092 90132201248 104215357693 157731352184 208430715386 315462704368 416861430772 630925408736 729507503851 833722861544 1459015007702 1667445723088 2918030015404 3334891446176 5836060030808 11672120061616 23344240123232