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121144424240 = 2457239405623
BaseRepresentation
bin111000011010011000…
…1010011011100110000
3102120200202121101102102
41300310301103130300
53441100433033430
6131353013235532
711516033421140
oct1606461233460
9376622541372
10121144424240
1147416961a84
121b58b032ba8
13b568320588
145c1332a920
1532406b4345
hex1c34c53730

121144424240 has 80 divisors (see below), whose sum is σ = 335893644288. Its totient is φ = 39729347328.

The previous prime is 121144424189. The next prime is 121144424311. The reversal of 121144424240 is 42424441121.

121144424240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1211444242403 (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4689932 + ... + 4715691.

Almost surely, 2121144424240 is an apocalyptic number.

121144424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121144424240 is an abundant number, since it is smaller than the sum of its proper divisors (214749220048).

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

121144424240 is a wasteful number, since it uses less digits than its factorization.

121144424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405666 (or 9405660 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 121144424240 its reverse (42424441121), we get a palindrome (163568865361).

The spelling of 121144424240 in words is "one hundred twenty-one billion, one hundred forty-four million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 9405623 18811246 37622492 47028115 65839361 75244984 94056230 131678722 150489968 188112460 216329329 263357444 329196805 376224920 432658658 526714888 658393610 752449840 865317316 1053429776 1081646645 1316787220 1514305303 1730634632 2163293290 2633574440 3028610606 3461269264 4326586580 5267148880 6057221212 7571526515 8653173160 12114442424 15143053030 17306346320 24228884848 30286106060 60572212120 121144424240