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42104313141444 = 22323161216163679
BaseRepresentation
bin10011001001011001011001…
…01000001101100011000100
312112002010120222100111021200
421210230230220031203010
521004314113131011234
6225314242053542500
711603636062445511
oct1144545450154304
9175063528314250
1042104313141444
1112463380124a64
124880121344a30
131a6555c0ac468
14a57c06b74308
154d036a911d99
hex264b2ca0d8c4

42104313141444 has 72 divisors (see below), whose sum is σ = 109881550571520. Its totient is φ = 13579815369600.

The previous prime is 42104313141391. The next prime is 42104313141479. The reversal of 42104313141444 is 44414131340124.

42104313141444 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 43 + 131 + 41 + 444 = 666.

It is a super-2 number, since 2×421043131414442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42104313141399 and 42104313141408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3749197 + ... + 9912875.

Almost surely, 242104313141444 is an apocalyptic number.

It is an amenable number.

42104313141444 is an abundant number, since it is smaller than the sum of its proper divisors (67777237430076).

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

42104313141444 is a wasteful number, since it uses less digits than its factorization.

42104313141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169841 (or 6169836 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 42104313141444 its reverse (44414131340124), we get a palindrome (86518444481568).

The spelling of 42104313141444 in words is "forty-two trillion, one hundred four billion, three hundred thirteen million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 6121 12242 18363 24484 36726 55089 73452 110178 189751 220356 379502 569253 759004 1138506 1707759 2277012 3415518 6163679 6831036 12327358 18491037 24654716 36982074 55473111 73964148 110946222 191074049 221892444 382148098 573222147 764296196 1146444294 1719666441 2292888588 3439332882 6878665764 37727879159 75455758318 113183637477 150911516636 226367274954 339550912431 452734549908 679101824862 1169564253929 1358203649724 2339128507858 3508692761787 4678257015716 7017385523574 10526078285361 14034771047148 21052156570722 42104313141444