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42111331434 = 2331038299133
BaseRepresentation
bin100111001110000001…
…111110110001101010
311000200210220021202000
4213032001332301222
51142221000101214
631202355551430
73020362261014
oct471601766152
9130623807660
1042111331434
111694a826657
1281b2bbb576
133c81609cc3
142076b671b4
15116703b809
hex9ce07ec6a

42111331434 has 64 divisors (see below), whose sum is σ = 94613625600. Its totient is φ = 13882539456.

The previous prime is 42111331429. The next prime is 42111331571. The reversal of 42111331434 is 43413311124.

42111331434 is a `hidden beast` number, since 4 + 211 + 13 + 3 + 1 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42111331398 and 42111331407.

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 31 ways as a sum of consecutive naturals, for example, 4606332 + ... + 4615464.

It is an arithmetic number, because the mean of its divisors is an integer number (1478337900).

Almost surely, 242111331434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111331434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47306812800).

42111331434 is an abundant number, since it is smaller than the sum of its proper divisors (52502294166).

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

42111331434 is a wasteful number, since it uses less digits than its factorization.

42111331434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10076 (or 10070 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 42111331434 its reverse (43413311124), we get a palindrome (85524642558).

The spelling of 42111331434 in words is "forty-two billion, one hundred eleven million, three hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 829 927 1658 1854 2487 2781 4974 5562 7461 9133 14922 18266 22383 27399 44766 54798 82197 85387 164394 170774 246591 256161 493182 512322 768483 940699 1536966 1881398 2305449 2822097 4610898 5644194 7571257 8466291 15142514 16932582 22713771 25398873 45427542 50797746 68141313 136282626 204423939 408847878 779839471 1559678942 2339518413 4679036826 7018555239 14037110478 21055665717 42111331434