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4342131300 = 22352133730091
BaseRepresentation
bin1000000101100111…
…11010101001100100
3102012121111010100210
410002303322221210
532343041200200
61554510535420
7212413335633
oct40263725144
912177433323
104342131300
111929024571
12a12207570
13542781180
142d297351a
151a6307650
hex102cfaa64

4342131300 has 144 divisors (see below), whose sum is σ = 13895763392. Its totient is φ = 1039910400.

The previous prime is 4342131257. The next prime is 4342131301. The reversal of 4342131300 is 31312434.

It is not an unprimeable number, because it can be changed into a prime (4342131301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129255 + ... + 159345.

Almost surely, 24342131300 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 4342131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947881696).

4342131300 is an abundant number, since it is smaller than the sum of its proper divisors (9553632092).

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

4342131300 is a wasteful number, since it uses less digits than its factorization.

4342131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30158 (or 30151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4342131300 is about 65894.8503299006. The cubic root of 4342131300 is about 1631.4270188543.

Adding to 4342131300 its reverse (31312434), we get a palindrome (4373443734).

The spelling of 4342131300 in words is "four billion, three hundred forty-two million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 30091 36075 48100 60182 72150 90273 120364 144300 150455 180546 300910 361092 391183 451365 601820 752275 782366 902730 1113367 1173549 1504550 1564732 1805460 1955915 2226734 2256825 2347098 3009100 3340101 3911830 4453468 4513650 4694196 5566835 5867745 6680202 7823660 9027300 9779575 11133670 11735490 13360404 14473771 16700505 19559150 22267340 23470980 27834175 28947542 29338725 33401010 39118300 43421313 55668350 57895084 58677450 66802020 72368855 83502525 86842626 111336700 117354900 144737710 167005050 173685252 217106565 289475420 334010100 361844275 434213130 723688550 868426260 1085532825 1447377100 2171065650 4342131300