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42234220104 = 2336196729833
BaseRepresentation
bin100111010101010110…
…110000111001001000
311001000101010200022020
4213111112300321020
51142443430020404
631222505524440
73023413643016
oct472526607110
9131011120266
1042234220104
1116a0313073a
1282281a3720
133ca0c059ab
1420891d58b6
151172c12ed9
hex9d55b0e48

42234220104 has 64 divisors (see below), whose sum is σ = 107431040640. Its totient is φ = 13832501760.

The previous prime is 42234220103. The next prime is 42234220109. The reversal of 42234220104 is 40102243224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42234220103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1400772 + ... + 1430604.

It is an arithmetic number, because the mean of its divisors is an integer number (1678610010).

Almost surely, 242234220104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42234220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53715520320).

42234220104 is an abundant number, since it is smaller than the sum of its proper divisors (65196820536).

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

42234220104 is a wasteful number, since it uses less digits than its factorization.

42234220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30870 (or 30866 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42234220104 its reverse (40102243224), we get a palindrome (82336463328).

The spelling of 42234220104 in words is "forty-two billion, two hundred thirty-four million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 967 1464 1934 2901 3868 5802 7736 11604 23208 29833 58987 59666 89499 117974 119332 176961 178998 235948 238664 353922 357996 471896 707844 715992 1415688 1819813 3639626 5459439 7279252 10918878 14558504 21837756 28848511 43675512 57697022 86545533 115394044 173091066 230788088 346182132 692364264 1759759171 3519518342 5279277513 7039036684 10558555026 14078073368 21117110052 42234220104