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42133342056 = 233132927716811
BaseRepresentation
bin100111001111010101…
…111100011101101000
311000202100022112122020
4213033111330131220
51142242113421211
631204503424440
73021050332641
oct471725743550
9130670275566
1042133342056
111696119a553
1281ba455120
133c86045640
142079a566c8
151168e38306
hex9cf57c768

42133342056 has 128 divisors (see below), whose sum is σ = 117778147200. Its totient is φ = 12471137280.

The previous prime is 42133342033. The next prime is 42133342057. The reversal of 42133342056 is 65024333124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42133342057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2497891 + ... + 2514701.

It is an arithmetic number, because the mean of its divisors is an integer number (920141775).

Almost surely, 242133342056 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 42133342056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58889073600).

42133342056 is an abundant number, since it is smaller than the sum of its proper divisors (75644805144).

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

42133342056 is a wasteful number, since it uses less digits than its factorization.

42133342056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17139 (or 17135 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 42133342056 in words is "forty-two billion, one hundred thirty-three million, three hundred forty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 277 312 348 377 554 696 754 831 1108 1131 1508 1662 2216 2262 3016 3324 3601 4524 6648 7202 8033 9048 10803 14404 16066 16811 21606 24099 28808 32132 33622 43212 48198 50433 64264 67244 86424 96396 100866 104429 134488 192792 201732 208858 218543 313287 403464 417716 437086 487519 626574 655629 835432 874172 975038 1253148 1311258 1462557 1748344 1950076 2506296 2622516 2925114 3900152 4656647 5245032 5850228 6337747 9313294 11700456 12675494 13969941 18626588 19013241 25350988 27939882 37253176 38026482 50701976 55879764 60536411 76052964 111759528 121072822 135042763 152105928 181609233 242145644 270085526 363218466 405128289 484291288 540171052 726436932 810256578 1080342104 1452873864 1620513156 1755555919 3241026312 3511111838 5266667757 7022223676 10533335514 14044447352 21066671028 42133342056