Search a number
-
+
30444240000 = 27354126851
BaseRepresentation
bin11100010110100111…
…100011110010000000
32220120201012122002110
4130112213203302000
5444322211140000
621552541415320
72125302525126
oct342647436200
986521178073
1030444240000
1111a02a86129
125a9786a540
132b424260c5
14168b447916
15bd2b2a850
hex7169e3c80

30444240000 has 160 divisors (see below), whose sum is σ = 101052840240. Its totient is φ = 8118400000.

The previous prime is 30444239981. The next prime is 30444240061. The reversal of 30444240000 is 4244403.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176575 + ... + 303425.

Almost surely, 230444240000 is an apocalyptic number.

30444240000 is a gapful number since it is divisible by the number (30) 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 30444240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50526420120).

30444240000 is an abundant number, since it is smaller than the sum of its proper divisors (70608600240).

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

30444240000 is an equidigital number, since it uses as much as digits as its factorization.

30444240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126888 (or 126861 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 30444240000 its reverse (4244403), we get a palindrome (30448484403).

The spelling of 30444240000 in words is "thirty billion, four hundred forty-four million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 126851 240000 253702 380553 507404 634255 761106 1014808 1268510 1522212 1902765 2029616 2537020 3044424 3171275 3805530 4059232 5074040 6088848 6342550 7611060 8118464 9513825 10148080 12177696 12685100 15222120 15856375 16236928 19027650 20296160 24355392 25370200 30444240 31712750 38055300 40592320 47569125 48710784 50740400 60888480 63425500 76110600 79281875 81184640 95138250 101480800 121776960 126851000 152221200 158563750 190276500 202961600 237845625 243553920 253702000 304442400 317127500 380553000 405923200 475691250 507404000 608884800 634255000 761106000 951382500 1014808000 1217769600 1268510000 1522212000 1902765000 2029616000 2537020000 3044424000 3805530000 5074040000 6088848000 7611060000 10148080000 15222120000 30444240000