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42420224240200 = 23527910126582419
BaseRepresentation
bin10011010010100101110100…
…11001011010101001001000
312120012100000100211002020201
421221102322121122221020
521030003104401141300
6230115325413101544
711635521462463162
oct1151227231325110
9176170010732221
1042420224240200
1112575352766254
1249113a73278b4
131a892964384b1
14a69215105932
154d86a9da566a
hex2694ba65aa48

42420224240200 has 96 divisors (see below), whose sum is σ = 100864334448000. Its totient is φ = 16587428832000.

The previous prime is 42420224240189. The next prime is 42420224240239. The reversal of 42420224240200 is 204242202424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11695410 + ... + 14887009.

It is an arithmetic number, because the mean of its divisors is an integer number (1050670150500).

Almost surely, 242420224240200 is an apocalyptic number.

42420224240200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42420224240200 is an abundant number, since it is smaller than the sum of its proper divisors (58444110207800).

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

42420224240200 is a wasteful number, since it uses less digits than its factorization.

42420224240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26582615 (or 26582606 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42420224240200 its reverse (204242202424), we get a palindrome (42624466442624).

The spelling of 42420224240200 in words is "forty-two trillion, four hundred twenty billion, two hundred twenty-four million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 101 158 200 202 316 395 404 505 632 790 808 1010 1580 1975 2020 2525 3160 3950 4040 5050 7900 7979 10100 15800 15958 20200 31916 39895 63832 79790 159580 199475 319160 398950 797900 1595800 26582419 53164838 106329676 132912095 212659352 265824190 531648380 664560475 1063296760 1329120950 2100011101 2658241900 2684824319 4200022202 5316483800 5369648638 8400044404 10500055505 10739297276 13424121595 16800088808 21000111010 21478594552 26848243190 42000222020 52500277525 53696486380 67120607975 84000444040 105000555050 107392972760 134241215950 210001110100 212101121201 268482431900 420002220200 424202242402 536964863800 848404484804 1060505606005 1696808969608 2121011212010 4242022424020 5302528030025 8484044848040 10605056060050 21210112120100 42420224240200