Search a number
-
+
2241431124460 = 2251137436403723
BaseRepresentation
bin100000100111011111101…
…101001011100111101100
321221021112012002201122121
4200213133231023213230
5243210422331440320
64433411011522324
7320636516126263
oct40473755134754
97837465081577
102241431124460
11794649488010
123024a28b93a4
1313349b2912b8
147a6b32335da
153d4888ca8aa
hex209dfb4b9ec

2241431124460 has 96 divisors (see below), whose sum is σ = 5396341370112. Its totient is φ = 774594213120.

The previous prime is 2241431124397. The next prime is 2241431124461. The reversal of 2241431124460 is 644211341422.

It is not an unprimeable number, because it can be changed into a prime (2241431124461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2851842 + ... + 3551881.

It is an arithmetic number, because the mean of its divisors is an integer number (56211889272).

Almost surely, 22241431124460 is an apocalyptic number.

2241431124460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241431124460 is an abundant number, since it is smaller than the sum of its proper divisors (3154910245652).

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

2241431124460 is a wasteful number, since it uses less digits than its factorization.

2241431124460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403823 (or 6403821 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 2241431124460 its reverse (644211341422), we get a palindrome (2885642465882).

The spelling of 2241431124460 in words is "two trillion, two hundred forty-one billion, four hundred thirty-one million, one hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 43 44 55 74 86 110 148 172 185 215 220 370 407 430 473 740 814 860 946 1591 1628 1892 2035 2365 3182 4070 4730 6364 7955 8140 9460 15910 17501 31820 35002 70004 87505 175010 350020 6403723 12807446 25614892 32018615 64037230 70440953 128074460 140881906 236937751 275360089 281763812 352204765 473875502 550720178 704409530 947751004 1101440356 1184688755 1376800445 1408819060 2369377510 2606315261 2753600890 3028960979 4738755020 5212630522 5507201780 6057921958 10188323293 10425261044 12115843916 13031576305 15144804895 20376646586 26063152610 30289609790 40753293172 50941616465 52126305220 60579219580 101883232930 112071556223 203766465860 224143112446 448286224892 560357781115 1120715562230 2241431124460