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42041443304300 = 225211353130183221
BaseRepresentation
bin10011000111100100010010…
…10010110100001101101100
312111212010022110122212001212
421203302021102310031230
521002301333441214200
6225225323351053552
711566252104604616
oct1143621122641554
9174763273585055
1042041443304300
11124397487aa870
12486bab63712b8
131a5c64cc126ab
14a54b610bbdb6
154cd8db27c035
hex263c894b436c

42041443304300 has 144 divisors (see below), whose sum is σ = 99883413239904. Its totient is φ = 15232588800000.

The previous prime is 42041443304297. The next prime is 42041443304363. The reversal of 42041443304300 is 340334414024.

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, 505136690 + ... + 505219910.

It is an arithmetic number, because the mean of its divisors is an integer number (693634814166).

Almost surely, 242041443304300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42041443304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49941706619952).

42041443304300 is an abundant number, since it is smaller than the sum of its proper divisors (57841969935604).

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

42041443304300 is a wasteful number, since it uses less digits than its factorization.

42041443304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84900 (or 84893 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 42041443304300 its reverse (340334414024), we get a palindrome (42381777718324).

The spelling of 42041443304300 in words is "forty-two trillion, forty-one billion, four hundred forty-three million, three hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 353 550 706 1100 1301 1412 1765 2602 3530 3883 5204 6505 7060 7766 8825 13010 14311 15532 17650 19415 26020 28622 32525 35300 38830 57244 65050 71555 77660 83221 97075 130100 143110 166442 194150 286220 332884 357775 388300 416105 459253 715550 832210 915431 918506 1431100 1664420 1830862 1837012 2080525 2296265 3661724 4161050 4577155 4592530 5051783 8322100 9154310 9185060 10103566 11481325 18308620 20207132 22885775 22962650 25258915 29377013 45771550 45925300 50517830 58754026 91543100 101035660 108270521 117508052 126294575 146885065 216541042 252589150 293770130 323147143 433082084 505178300 541352605 587540260 646294286 734425325 1082705210 1190975731 1292588572 1468850650 1615735715 2165410420 2381951462 2706763025 2937701300 3231471430 4763902924 5413526050 5954878655 6462942860 8078678575 10827052100 11909757310 16157357150 23819514620 29774393275 32314714300 38219493913 59548786550 76438987826 119097573100 152877975652 191097469565 382194939130 420414433043 764389878260 840828866086 955487347825 1681657732172 1910974695650 2102072165215 3821949391300 4204144330430 8408288660860 10510360826075 21020721652150 42041443304300