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4234120000 = 2654119623
BaseRepresentation
bin1111110001011111…
…1000101101000000
3101221002020120201021
43330113320231000
532132413320000
61540051515224
7206632266115
oct37427705500
911832216637
104234120000
111883061030
129a1bb8b14
13526294066
142c249890c
1519babe11a
hexfc5f8b40

4234120000 has 140 divisors (see below), whose sum is σ = 11454908256. Its totient is φ = 1539520000.

The previous prime is 4234119971. The next prime is 4234120039. The reversal of 4234120000 is 214324.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 435189 + ... + 444811.

Almost surely, 24234120000 is an apocalyptic number.

4234120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727454128).

4234120000 is an abundant number, since it is smaller than the sum of its proper divisors (7220788256).

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

4234120000 is an equidigital number, since it uses as much as digits as its factorization.

4234120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4234120000 is about 65070.1160287885. The cubic root of 4234120000 is about 1617.7859303238.

Adding to 4234120000 its reverse (214324), we get a palindrome (4234334324).

The spelling of 4234120000 in words is "four billion, two hundred thirty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 9623 10000 11000 13750 17600 19246 20000 22000 27500 38492 40000 44000 48115 55000 76984 88000 96230 105853 110000 153968 192460 211706 220000 240575 307936 384920 423412 440000 481150 529265 615872 769840 846824 962300 1058530 1202875 1539680 1693648 1924600 2117060 2405750 2646325 3079360 3387296 3849200 4234120 4811500 5292650 6014375 6774592 7698400 8468240 9623000 10585300 12028750 13231625 15396800 16936480 19246000 21170600 24057500 26463250 33872960 38492000 42341200 48115000 52926500 66158125 76984000 84682400 96230000 105853000 132316250 169364800 192460000 211706000 264632500 384920000 423412000 529265000 846824000 1058530000 2117060000 4234120000