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10414000243300 = 22525910126366449
BaseRepresentation
bin1001011110001011001011…
…0010010000001001100100
31100212120100120201200010211
42113202302302100021210
52331110333030241200
634052043051025204
72123246430346213
oct227426262201144
940776316650124
1010414000243300
113355609710425
12120237773b204
135a706115c3a4
1428007c82d07a
15130d5a9bbaba
hex978b2c90264

10414000243300 has 144 divisors (see below), whose sum is σ = 23297540112000. Its totient is φ = 4038975232000.

The previous prime is 10414000243249. The next prime is 10414000243327. The reversal of 10414000243300 is 334200041401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156688476 + ... + 156754924.

It is an arithmetic number, because the mean of its divisors is an integer number (161788473000).

Almost surely, 210414000243300 is an apocalyptic number.

10414000243300 is a gapful number since it is divisible by the number (10) 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 10414000243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648770056000).

10414000243300 is an abundant number, since it is smaller than the sum of its proper divisors (12883539868700).

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

10414000243300 is a wasteful number, since it uses less digits than its factorization.

10414000243300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66886 (or 66879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10414000243300 its reverse (334200041401), we get a palindrome (10748200284701).

The spelling of 10414000243300 in words is "ten trillion, four hundred fourteen billion, two hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 101 118 202 236 263 295 404 505 526 590 1010 1052 1180 1315 1475 2020 2525 2630 2950 5050 5260 5900 5959 6575 10100 11918 13150 15517 23836 26300 26563 29795 31034 53126 59590 62068 66449 77585 106252 119180 132815 132898 148975 155170 265630 265796 297950 310340 332245 387925 531260 595900 664075 664490 775850 1328150 1328980 1551700 1567217 1661225 2656300 3134434 3322450 3920491 6268868 6644900 6711349 7836085 7840982 13422698 15672170 15681964 17476087 19602455 26845396 31344340 33556745 34952174 39180425 39204910 67113490 69904348 78360850 78409820 87380435 98012275 134226980 156721700 167783725 174760870 196024550 335567450 349521740 392049100 395969591 436902175 671134900 791939182 873804350 1031089133 1583878364 1747608700 1765084787 1979847955 2062178266 3530169574 3959695910 4124356532 5155445665 7060339148 7919391820 8825423935 9899239775 10310891330 17650847870 19798479550 20621782660 25777228325 35301695740 39596959100 44127119675 51554456650 88254239350 103108913300 104140002433 176508478700 208280004866 416560009732 520700012165 1041400024330 2082800048660 2603500060825 5207000121650 10414000243300