Search a number
-
+
331214222420000 = 255459280690019
BaseRepresentation
bin100101101001111001101001…
…0000100100110100000100000
31121102201202210122100020202222
41023103303102010212200200
5321403103211414420000
63132233414015530212
7126523303124353553
oct11323632204464040
91542652718306688
10331214222420000
1196598187901287
1231193650b29968
13112a74a08449aa
145bb0bd516069a
152845996c3da85
hex12d3cd2126820

331214222420000 has 120 divisors (see below), whose sum is σ = 828647463243600. Its totient is φ = 130240168352000.

The previous prime is 331214222419961. The next prime is 331214222420069. The reversal of 331214222420000 is 24222412133.

It is a super-2 number, since 2×3312142224200002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139165010 + ... + 141525009.

It is an arithmetic number, because the mean of its divisors is an integer number (6905395527030).

Almost surely, 2331214222420000 is an apocalyptic number.

It is an amenable number.

331214222420000 is an abundant number, since it is smaller than the sum of its proper divisors (497433240823600).

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

331214222420000 is an equidigital number, since it uses as much as digits as its factorization.

331214222420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280690108 (or 280690085 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 331214222420000 its reverse (24222412133), we get a palindrome (331238444832133).

The spelling of 331214222420000 in words is "three hundred thirty-one trillion, two hundred fourteen billion, two hundred twenty-two million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 125 160 200 236 250 295 400 472 500 590 625 800 944 1000 1180 1250 1475 1888 2000 2360 2500 2950 4000 4720 5000 5900 7375 9440 10000 11800 14750 20000 23600 29500 36875 47200 59000 73750 118000 147500 236000 295000 590000 1180000 280690019 561380038 1122760076 1403450095 2245520152 2806900190 4491040304 5613800380 7017250475 8982080608 11227600760 14034500950 16560711121 22455201520 28069001900 33121422242 35086252375 44910403040 56138003800 66242844484 70172504750 82803555605 112276007600 132485688968 140345009500 165607111210 175431261875 224552015200 264971377936 280690019000 331214222420 350862523750 414017778025 529942755872 561380038000 662428444840 701725047500 828035556050 1122760076000 1324856889680 1403450095000 1656071112100 2070088890125 2649713779360 2806900190000 3312142224200 4140177780250 5613800380000 6624284448400 8280355560500 10350444450625 13248568896800 16560711121000 20700888901250 33121422242000 41401777802500 66242844484000 82803555605000 165607111210000 331214222420000