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42115150112 = 2571940124677
BaseRepresentation
bin100111001110010000…
…100011000100100000
311000201002002021222112
4213032100203010200
51142222434300422
631203013454452
73020436604130
oct471620430440
9130632067875
1042115150112
11169519a4692
1281b4341428
133c82346189
14207747cac0
151167542ee2
hex9ce423120

42115150112 has 96 divisors (see below), whose sum is σ = 99999204480. Its totient is φ = 17056051200.

The previous prime is 42115150097. The next prime is 42115150123. The reversal of 42115150112 is 21105151124.

It is a happy number.

It is a super-2 number, since 2×421151501122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1694318 + ... + 1718994.

It is an arithmetic number, because the mean of its divisors is an integer number (1041658380).

Almost surely, 242115150112 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 42115150112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49999602240).

42115150112 is an abundant number, since it is smaller than the sum of its proper divisors (57884054368).

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

42115150112 is a wasteful number, since it uses less digits than its factorization.

42115150112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25114 (or 25106 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 23.

The spelling of 42115150112 in words is "forty-two billion, one hundred fifteen million, one hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 401 532 608 802 1064 1604 2128 2807 3208 4256 5614 6416 7619 11228 12832 15238 22456 24677 30476 44912 49354 53333 60952 89824 98708 106666 121904 172739 197416 213332 243808 345478 394832 426664 468863 690956 789664 853328 937726 1381912 1706656 1875452 2763824 3282041 3750904 5527648 6564082 7501808 9895477 13128164 15003616 19790954 26256328 39581908 52512656 69268339 79163816 105025312 138536678 158327632 188014063 277073356 316655264 376028126 554146712 752056252 1108293424 1316098441 1504112504 2216586848 2632196882 3008225008 5264393764 6016450016 10528787528 21057575056 42115150112