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4234212020032 = 261723732317891
BaseRepresentation
bin111101100111011010101…
…101000000111101000000
3112222210020111221002001121
4331213122231000331000
51023333131234120112
613001100430242024
7614624502221551
oct75473255007500
915883214832047
104234212020032
1113927a0332895
12584751056314
13249391006837
14108d19010328
157521cc0e407
hex3d9dab40f40

4234212020032 has 112 divisors (see below), whose sum is σ = 9410493174912. Its totient is φ = 1879827333120.

The previous prime is 4234212020029. The next prime is 4234212020057. The reversal of 4234212020032 is 2300202124324.

4234212020032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4234212019979 and 4234212020006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667807 + ... + 2985697.

Almost surely, 24234212020032 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 4234212020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705246587456).

4234212020032 is an abundant number, since it is smaller than the sum of its proper divisors (5176281154880).

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

4234212020032 is a wasteful number, since it uses less digits than its factorization.

4234212020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318016 (or 2318006 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4234212020032 its reverse (2300202124324), we get a palindrome (6534414144356).

The spelling of 4234212020032 in words is "four trillion, two hundred thirty-four billion, two hundred twelve million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 73 92 136 146 184 272 292 368 391 544 584 736 782 1088 1168 1241 1472 1564 1679 2336 2482 3128 3358 4672 4964 6256 6716 9928 12512 13432 19856 25024 26864 28543 39712 53728 57086 79424 107456 114172 228344 456688 913376 1826752 2317891 4635782 9271564 18543128 37086256 39404147 53311493 74172512 78808294 106622986 148345024 157616588 169206043 213245972 315233176 338412086 426491944 630466352 676824172 852983888 906295381 1260932704 1353648344 1705967776 1812590762 2521865408 2707296688 2876502731 3411935552 3625181524 3891738989 5414593376 5753005462 7250363048 7783477978 10829186752 11506010924 14500726096 15566955956 23012021848 29001452192 31133911912 46024043696 58002904384 62267823824 66159562813 92048087392 124535647648 132319125626 184096174784 249071295296 264638251252 529276502504 1058553005008 2117106010016 4234212020032