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42130134112 = 2511263571797
BaseRepresentation
bin100111001111001001…
…101101010001100000
311000202010021120011111
4213033021231101200
51142240303242422
631204310553104
73021011142223
oct471711552140
9130663246144
1042130134112
111695a3a9360
1281b9368794
133c85491451
14207945d5ba
151168a02a77
hex9cf26d460

42130134112 has 96 divisors (see below), whose sum is σ = 91101314304. Its totient is φ = 19019942400.

The previous prime is 42130134083. The next prime is 42130134121. The reversal of 42130134112 is 21143103124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 52860498 + ... + 52861294.

It is an arithmetic number, because the mean of its divisors is an integer number (948972024).

Almost surely, 242130134112 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 42130134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45550657152).

42130134112 is an abundant number, since it is smaller than the sum of its proper divisors (48971180192).

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

42130134112 is a wasteful number, since it uses less digits than its factorization.

42130134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 42130134112 its reverse (21143103124), we get a palindrome (63273237236).

The spelling of 42130134112 in words is "forty-two billion, one hundred thirty million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 263 352 526 571 797 1052 1142 1594 2104 2284 2893 3188 4208 4568 5786 6281 6376 8416 8767 9136 11572 12562 12752 17534 18272 23144 25124 25504 35068 46288 50248 70136 92576 100496 140272 150173 200992 209611 280544 300346 419222 455087 600692 838444 910174 1201384 1651903 1676888 1820348 2305721 2402768 3303806 3353776 3640696 4611442 4805536 5005957 6607612 6707552 7281392 9222884 10011914 13215224 14562784 18445768 20023828 26430448 36891536 40047656 52860896 73783072 80095312 119687881 160190624 239375762 478751524 957503048 1316566691 1915006096 2633133382 3830012192 5266266764 10532533528 21065067056 42130134112