Search a number
-
+
2420400202000 = 245311110018191
BaseRepresentation
bin100011001110001011000…
…110000010000100010000
322120101110211222212010221
4203032023012002010100
5304123434422431000
65051525544202424
7336603526155454
oct43161306020420
98511424885127
102420400202000
118535388a5960
1233110b169414
1314732045c851
1485210152664
1542e6084561a
hex2338b182110

2420400202000 has 80 divisors (see below), whose sum is σ = 6384575718144. Its totient is φ = 880145520000.

The previous prime is 2420400201997. The next prime is 2420400202037. The reversal of 2420400202000 is 2020040242.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54987096 + ... + 55031095.

Almost surely, 22420400202000 is an apocalyptic number.

2420400202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420400202000 is an abundant number, since it is smaller than the sum of its proper divisors (3964175516144).

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

2420400202000 is a wasteful number, since it uses less digits than its factorization.

2420400202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110018225 (or 110018209 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2420400202000 its reverse (2020040242), we get a palindrome (2422420242242).

The spelling of 2420400202000 in words is "two trillion, four hundred twenty billion, four hundred million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 110018191 220036382 440072764 550090955 880145528 1100181910 1210200101 1760291056 2200363820 2420400202 2750454775 4400727640 4840800404 5500909550 6051000505 8801455280 9681600808 11001819100 12102001010 13752273875 19363201616 22003638200 24204002020 27504547750 30255002525 44007276400 48408004040 55009095500 60510005050 96816008080 110018191000 121020010100 151275012625 220036382000 242040020200 302550025250 484080040400 605100050500 1210200101000 2420400202000