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42420234141103 = 7133157127319643
BaseRepresentation
bin10011010010100101110101…
…11111001011110110101111
312120012100001001110002201211
421221102322333023312233
521030003114420003403
6230115330405215251
711635521642600610
oct1151227277136657
9176170031402654
1042420234141103
1112575358308a15
1249113aa701527
131a892984c3c10
14a69216561c07
154d86aabae06d
hex2694bafcbdaf

42420234141103 has 64 divisors (see below), whose sum is σ = 54013451075584. Its totient is φ = 32408458992000.

The previous prime is 42420234141083. The next prime is 42420234141217. The reversal of 42420234141103 is 30114143202424.

It is a happy number.

It is not a de Polignac number, because 42420234141103 - 245 = 7235862052271 is a prime.

It is a super-2 number, since 2×424202341411032 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42420234142103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4399065400 + ... + 4399075042.

It is an arithmetic number, because the mean of its divisors is an integer number (843960173056).

Almost surely, 242420234141103 is an apocalyptic number.

42420234141103 is a deficient number, since it is larger than the sum of its proper divisors (11593216934481).

42420234141103 is a wasteful number, since it uses less digits than its factorization.

42420234141103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 42420234141103 its reverse (30114143202424), we get a palindrome (72534377343527).

The spelling of 42420234141103 in words is "forty-two trillion, four hundred twenty billion, two hundred thirty-four million, one hundred forty-one thousand, one hundred three".

Divisors: 1 7 13 31 91 217 403 571 2731 2821 3997 7423 9643 17701 19117 35503 51961 67501 84661 123907 125359 230113 248521 298933 592627 877513 1100593 1559401 1610791 2092531 3886129 5506153 7704151 10915807 20272213 26335033 27202903 38543071 48341431 71579989 141905491 170690743 184345231 338390017 342355429 501059923 628438603 816386023 1194835201 2218979659 2396488003 4399070221 5714702161 10613018299 15037303843 15532857613 74291128093 105261126901 195484949959 466156419133 1368394649713 3263094933931 6060033448729 42420234141103