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23441424202300 = 22521374327298893
BaseRepresentation
bin1010101010001111000011…
…10000110011101000111100
310001222222102011020122212111
411111013201300303220330
511033031014043433200
6121504501442143404
74636405226054056
oct525074160635074
9101888364218774
1023441424202300
1175184a7933445
122767131651b64
1310106945a8080
145b07dcad68d6
152a9b72a310ba
hex1551e1c33a3c

23441424202300 has 144 divisors (see below), whose sum is σ = 54880805528640. Its totient is φ = 8639507036160.

The previous prime is 23441424202243. The next prime is 23441424202309. The reversal of 23441424202300 is 320242414432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23441424202309) 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, 2635936654 + ... + 2635945546.

It is an arithmetic number, because the mean of its divisors is an integer number (381116705060).

Almost surely, 223441424202300 is an apocalyptic number.

23441424202300 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 23441424202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27440402764320).

23441424202300 is an abundant number, since it is smaller than the sum of its proper divisors (31439381326340).

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

23441424202300 is a wasteful number, since it uses less digits than its factorization.

23441424202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12392 (or 12385 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 23441424202300 its reverse (320242414432), we get a palindrome (23761666616732).

The spelling of 23441424202300 in words is "twenty-three trillion, four hundred forty-one billion, four hundred twenty-four million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 743 1300 1486 2729 2972 3715 5458 7430 8893 9659 10916 13645 14860 17786 18575 19318 27290 35477 35572 37150 38636 44465 48295 54580 68225 70954 74300 88930 96590 115609 136450 141908 177385 177860 193180 222325 231218 241475 272900 354770 444650 462436 482950 578045 709540 886925 889300 965900 1156090 1773850 2027647 2312180 2890225 3547700 4055294 5780450 6607499 8110588 10138235 11560900 13214998 20276470 24268997 26359411 26429996 33037495 40552940 48537994 50691175 52718822 66074990 85897487 97075988 101382350 105437644 121344985 131797055 132149980 165187475 171794974 202764700 242689970 263594110 315496961 330374950 343589948 429487435 485379940 527188220 606724925 630993922 658985275 660749900 858974870 1213449850 1261987844 1317970550 1577484805 1717949740 2147437175 2426899700 2635941100 3154969610 4294874350 6309939220 7887424025 8589748700 15774848050 18031864771 31549696100 36063729542 72127459084 90159323855 180318647710 234414242023 360637295420 450796619275 468828484046 901593238550 937656968092 1172071210115 1803186477100 2344142420230 4688284840460 5860356050575 11720712101150 23441424202300