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42042403044 = 223217292368853
BaseRepresentation
bin100111001001111011…
…000010100011100100
311000112000012100202200
4213021323002203210
51142100323344134
631151454334500
73015564346425
oct471173024344
9130460170680
1042042403044
1116914927744
128193aba430
133c70255185
14206b94364c
151160e73499
hex9c9ec28e4

42042403044 has 72 divisors (see below), whose sum is σ = 116405485560. Its totient is φ = 12734948352.

The previous prime is 42042403037. The next prime is 42042403063. The reversal of 42042403044 is 44030424024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14573318400 + 27469084644 = 120720^2 + 165738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42042402999 and 42042403017.

It is an unprimeable number.

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, 1166679 + ... + 1202174.

It is an arithmetic number, because the mean of its divisors is an integer number (1616742855).

Almost surely, 242042403044 is an apocalyptic number.

It is an amenable number.

42042403044 is an abundant number, since it is smaller than the sum of its proper divisors (74363082516).

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

42042403044 is a wasteful number, since it uses less digits than its factorization.

42042403044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368909 (or 2368904 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 42042403044 its reverse (44030424024), we get a palindrome (86072827068).

The spelling of 42042403044 in words is "forty-two billion, forty-two million, four hundred three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 2368853 4737706 7106559 9475412 14213118 21319677 28426236 40270501 42639354 68696737 80541002 85278708 120811503 137393474 161082004 206090211 241623006 274786948 362434509 412180422 483246012 618270633 724869018 824360844 1167844529 1236541266 1449738036 2335689058 2473082532 3503533587 4671378116 7007067174 10510600761 14014134348 21021201522 42042403044