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23242400424232 = 23115231553325181
BaseRepresentation
bin1010100100011100010110…
…00001010110000100101000
310001021221200211220012002221
411102032023001112010220
511021300414002033412
6121233224504003424
74616131230625123
oct522161301260450
9101257624805087
1023242400424232
117451057125230
122734648a60574
13cc79975bc112
145a4d1c5333ba
152a48c5142b07
hex15238b056128

23242400424232 has 64 divisors (see below), whose sum is σ = 47662992336960. Its totient is φ = 10537705036800.

The previous prime is 23242400424149. The next prime is 23242400424239.

23242400424232 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23242400424239) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71312682 + ... + 71637862.

It is an arithmetic number, because the mean of its divisors is an integer number (744734255265).

Almost surely, 223242400424232 is an apocalyptic number.

23242400424232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23242400424232 is an abundant number, since it is smaller than the sum of its proper divisors (24420591912728).

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

23242400424232 is a wasteful number, since it uses less digits than its factorization.

23242400424232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327274 (or 327270 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 23242400 and 424232, that added together give a palindrome (23666632).

The spelling of 23242400424232 in words is "twenty-three trillion, two hundred forty-two billion, four hundred million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 523 1046 1553 2092 3106 4184 5753 6212 11506 12424 17083 23012 34166 46024 68332 136664 325181 650362 812219 1300724 1624438 2601448 3248876 3576991 6497752 7153982 8934409 14307964 17868818 28615928 35737636 71475272 170069663 340139326 505006093 680278652 1010012186 1360557304 1870766293 2020024372 3741532586 4040048744 5555067023 7483065172 11110134046 14966130344 22220268092 44440536184 264118186639 528236373278 1056472746556 2112945493112 2905300053029 5810600106058 11621200212116 23242400424232