Search a number
-
+
424373373424 = 247111326496839
BaseRepresentation
bin1100010110011101001…
…11111100100111110000
31111120101022101000202001
412023032213330213300
523423104040422144
6522542054103344
742442240104520
oct6131647744760
91446338330661
10424373373424
11153a80784620
126a2b594ab54
13310310b55b0
141677b231680
15b08b58dbd4
hex62ce9fc9f0

424373373424 has 80 divisors (see below), whose sum is σ = 1103964341760. Its totient is φ = 152621786880.

The previous prime is 424373373349. The next prime is 424373373461.

424373373424 is nontrivially palindromic in base 10.

It is a congruent number.

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, 13232404 + ... + 13264435.

It is an arithmetic number, because the mean of its divisors is an integer number (13799554272).

Almost surely, 2424373373424 is an apocalyptic number.

424373373424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424373373424 is an abundant number, since it is smaller than the sum of its proper divisors (679590968336).

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

424373373424 is a wasteful number, since it uses less digits than its factorization.

424373373424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26496878 (or 26496872 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 46.

It can be divided in two parts, 424373 and 373424, that added together give a palindrome (797797).

The spelling of 424373373424 in words is "four hundred twenty-four billion, three hundred seventy-three million, three hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 26496839 52993678 105987356 185477873 211974712 291465229 344458907 370955746 423949424 582930458 688917814 741911492 1165860916 1377835628 1483822984 2040256603 2331721832 2411212349 2755671256 2967645968 3789047977 4080513206 4663443664 4822424698 5511342512 7578095954 8161026412 9644849396 15156191908 16322052824 19289698792 26523335839 30312383816 32644105648 38579397584 53046671678 60624767632 106093343356 212186686712 424373373424