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30441431400 = 23352192670301
BaseRepresentation
bin11100010110011100…
…110110000101101000
32220120111220221102020
4130112130312011220
5444321001301100
621552401304440
72125236616602
oct342634660550
986514827366
1030441431400
1111a01437a76
125a96935120
132b41981903
14168ad16172
15bd27735a0
hex716736168

30441431400 has 96 divisors (see below), whose sum is σ = 99335234400. Its totient is φ = 7690464000.

The previous prime is 30441431389. The next prime is 30441431401. The reversal of 30441431400 is 413414403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30441431401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1323751 + ... + 1346550.

It is an arithmetic number, because the mean of its divisors is an integer number (1034742025).

Almost surely, 230441431400 is an apocalyptic number.

30441431400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30441431400 is an abundant number, since it is smaller than the sum of its proper divisors (68893803000).

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

30441431400 is a wasteful number, since it uses less digits than its factorization.

30441431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670339 (or 2670330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30441431400 its reverse (413414403), we get a palindrome (30854845803).

The spelling of 30441431400 in words is "thirty billion, four hundred forty-one million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 2670301 5340602 8010903 10681204 13351505 16021806 21362408 26703010 32043612 40054515 50735719 53406020 64087224 66757525 80109030 101471438 106812040 133515050 152207157 160218060 200272575 202942876 253678595 267030100 304414314 320436120 400545150 405885752 507357190 534060200 608828628 761035785 801090300 1014714380 1217657256 1268392975 1522071570 1602180600 2029428760 2536785950 3044143140 3805178925 5073571900 6088286280 7610357850 10147143800 15220715700 30441431400