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42014424041700 = 223521137344098477
BaseRepresentation
bin10011000110110001111101…
…10100100000100011100100
312111202112120110011002201020
421203120332310200203210
521001331020023313300
6225205054314331140
711564304410633355
oct1143307664404344
9174675513132636
1042014424041700
111242924306a980
124866815729ab0
131a59c35249246
14a5371a8a3d2c
154ccd5918e8a0
hex26363ed208e4

42014424041700 has 144 divisors (see below), whose sum is σ = 136196930380224. Its totient is φ = 9910036108800.

The previous prime is 42014424041609. The next prime is 42014424041741. The reversal of 42014424041700 is 714042441024.

It is a happy number.

42014424041700 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 171927139 + ... + 172171338.

Almost surely, 242014424041700 is an apocalyptic number.

It is an amenable number.

42014424041700 is an abundant number, since it is smaller than the sum of its proper divisors (94182506338524).

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

42014424041700 is a wasteful number, since it uses less digits than its factorization.

42014424041700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344098542 (or 344098535 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

Adding to 42014424041700 its reverse (714042441024), we get a palindrome (42728466482724).

The spelling of 42014424041700 in words is "forty-two trillion, fourteen billion, four hundred twenty-four million, forty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 344098477 688196954 1032295431 1376393908 1720492385 2064590862 3440984770 3785083247 4129181724 5161477155 6881969540 7570166494 8602461925 10322954310 11355249741 12731643649 15140332988 17204923850 18925416235 20645908620 22710499482 25463287298 25807385775 34409847700 37850832470 38194930947 45420998964 50926574596 51614771550 56776248705 63658218245 75701664940 76389861894 94627081175 103229543100 113552497410 127316436490 140048080139 152779723788 189254162350 190974654735 227104994820 254632872980 280096160278 283881243525 318291091225 378508324700 381949309470 420144240417 560192320556 567762487050 636582182450 700240400695 763898618940 840288480834 954873273675 1135524974100 1273164364900 1400480801390 1680576961668 1909746547350 2100721202085 2800961602780 3501202003475 3819493094700 4201442404170 7002404006950 8402884808340 10503606010425 14004808013900 21007212020850 42014424041700