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23300231240040 = 23355918013182701
BaseRepresentation
bin1010100110001000000100…
…00000011001100101101000
310001111110222011210000112220
411103010002000121211220
511023222333144140130
6121315551203034040
74623246310510506
oct523040200314550
9101443864700486
1023300231240040
117473633110087
1227438a836b920
131000282817061
145a7a46c8b676
152a615c214410
hex153102019968

23300231240040 has 128 divisors (see below), whose sum is σ = 71089786684800. Its totient is φ = 6107710694400.

The previous prime is 23300231240029. The next prime is 23300231240047. The reversal of 23300231240040 is 4004213200332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23300231240047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127440690 + ... + 127623390.

It is an arithmetic number, because the mean of its divisors is an integer number (555388958475).

Almost surely, 223300231240040 is an apocalyptic number.

23300231240040 is a gapful number since it is divisible by the number (20) 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 23300231240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544893342400).

23300231240040 is an abundant number, since it is smaller than the sum of its proper divisors (47789555444760).

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

23300231240040 is a wasteful number, since it uses less digits than its factorization.

23300231240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200787 (or 200783 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23300231240040 its reverse (4004213200332), we get a palindrome (27304444440372).

The spelling of 23300231240040 in words is "twenty-three trillion, three hundred billion, two hundred thirty-one million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 18013 36026 54039 72052 90065 108078 144104 180130 182701 216156 270195 360260 365402 432312 540390 548103 720520 730804 913505 1062767 1080780 1096206 1461608 1827010 2125534 2161560 2192412 2740515 3188301 3654020 4251068 4384824 5313835 5481030 6376602 7308040 8502136 10627670 10779359 10962060 12753204 15941505 21255340 21558718 21924120 25506408 31883010 32338077 42510680 43117436 53896795 63766020 64676154 86234872 107793590 127532040 129352308 161690385 215587180 258704616 323380770 431174360 646761540 1293523080 3290993113 6581986226 9872979339 13163972452 16454965565 19745958678 26327944904 32909931130 39491917356 49364896695 65819862260 78983834712 98729793390 131639724520 194168593667 197459586780 388337187334 394919173560 582505781001 776674374668 970842968335 1165011562002 1553348749336 1941685936670 2330023124004 2912528905005 3883371873340 4660046248008 5825057810010 7766743746680 11650115620020 23300231240040