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42403223321200 = 24527112571345297
BaseRepresentation
bin10011010010000110001010…
…00100000011101001110000
312120010201010112120220201001
421221003011010003221300
521024213300132234300
6230103434420251344
711634350255163520
oct1151030504035160
9176121115526631
1042403223321200
111256911912a175
12490a041840b54
131a877b71b2a01
14a68481267680
154d801259b16a
hex2690c5103a70

42403223321200 has 120 divisors (see below), whose sum is σ = 116437565228192. Its totient is φ = 14536945704960.

The previous prime is 42403223321191. The next prime is 42403223321201. The reversal of 42403223321200 is 212332230424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42403223321201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30846952 + ... + 32192248.

Almost surely, 242403223321200 is an apocalyptic number.

42403223321200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42403223321200 is an abundant number, since it is smaller than the sum of its proper divisors (74034341906992).

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

42403223321200 is a wasteful number, since it uses less digits than its factorization.

42403223321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356579 (or 1356568 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42403223321200 its reverse (212332230424), we get a palindrome (42615555551624).

The spelling of 42403223321200 in words is "forty-two trillion, four hundred three billion, two hundred twenty-three million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 11257 22514 45028 56285 78799 90056 112570 157598 180112 225140 281425 315196 393995 450280 562850 630392 787990 900560 1125700 1260784 1345297 1575980 1969975 2251400 2690594 3151960 3939950 4502800 5381188 6303920 6726485 7879900 9417079 10762376 13452970 15759800 18834158 21524752 26905940 31519600 33632425 37668316 47085395 53811880 67264850 75336632 94170790 107623760 134529700 150673264 188341580 235426975 269059400 376683160 470853950 538118800 753366320 941707900 1883415800 3766831600 15144008329 30288016658 60576033316 75720041645 106008058303 121152066632 151440083290 212016116606 242304133264 302880166580 378600208225 424032233212 530040291515 605760333160 757200416450 848064466424 1060080583030 1211520666320 1514400832900 1696128932848 2120161166060 2650201457575 3028801665800 4240322332120 5300402915150 6057603331600 8480644664240 10600805830300 21201611660600 42403223321200