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23044340432300 = 225211291623144507
BaseRepresentation
bin1010011110101011011011…
…01110011011110110101100
310000121000110201002010101012
411033111231232123312230
511010024302122313200
6121002231315004352
74565620144521245
oct517255556336654
9100530421063335
1023044340432300
117385060455890
122702192b996b8
13cb20c21a0c15
145994cdd71ccc
1529e682180a35
hex14f56db9bdac

23044340432300 has 144 divisors (see below), whose sum is σ = 56438095230720. Its totient is φ = 8090122656000.

The previous prime is 23044340432297. The next prime is 23044340432303. The reversal of 23044340432300 is 323404344032.

It is an interprime number because it is at equal distance from previous prime (23044340432297) and next prime (23044340432303).

It is not an unprimeable number, because it can be changed into a prime (23044340432303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517746647 + ... + 517791153.

It is an arithmetic number, because the mean of its divisors is an integer number (391931216880).

Almost surely, 223044340432300 is an apocalyptic number.

23044340432300 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 23044340432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28219047615360).

23044340432300 is an abundant number, since it is smaller than the sum of its proper divisors (33393754798420).

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

23044340432300 is a wasteful number, since it uses less digits than its factorization.

23044340432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60792 (or 60785 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 23044340432300 its reverse (323404344032), we get a palindrome (23367744776332).

The spelling of 23044340432300 in words is "twenty-three trillion, forty-four billion, three hundred forty million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 16231 31900 32462 44507 64924 81155 89014 162310 178028 178541 222535 324620 357082 405775 445070 470699 489577 714164 811550 890140 892705 941398 979154 1112675 1290703 1623100 1785410 1882796 1958308 2225350 2353495 2447885 2581406 3570820 4450700 4463525 4706990 4895770 5162812 5177689 6453515 8927050 9413980 9791540 10355378 11767475 12239425 12907030 14197733 17854100 20710756 23534950 24478850 25814060 25888445 28395466 32267575 47069900 48957700 51776890 56790932 64535150 70988665 103553780 129070300 129442225 141977330 258884450 283954660 354943325 517768900 709886650 722393117 1419773300 1444786234 2889572468 3611965585 7223931170 7946324287 14447862340 15892648574 18059827925 20949400393 31785297148 36119655850 39731621435 41898800786 72239311700 79463242870 83797601572 104747001965 158926485740 198658107175 209494003930 230443404323 397316214350 418988007860 460886808646 523735009825 794632428700 921773617292 1047470019650 1152217021615 2094940039300 2304434043230 4608868086460 5761085108075 11522170216150 23044340432300