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407143341704 = 231129315146417
BaseRepresentation
bin1011110110010111010…
…00100101111010001000
31102220220112000201122002
411323023220211322020
523132312143413304
6511012234450132
741262251206061
oct5731350457210
91386815021562
10407143341704
11147739890790
1266aa7593948
132c516551658
14159c4b93568
15a8cdac931e
hex5ecba25e88

407143341704 has 64 divisors (see below), whose sum is σ = 889301030400. Its totient is φ = 172919577600.

The previous prime is 407143341691. The next prime is 407143341749.

407143341704 is nontrivially palindromic in base 10.

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, 2494097 + ... + 2652320.

It is an arithmetic number, because the mean of its divisors is an integer number (13895328600).

Almost surely, 2407143341704 is an apocalyptic number.

407143341704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

407143341704 is an abundant number, since it is smaller than the sum of its proper divisors (482157688696).

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

407143341704 is a wasteful number, since it uses less digits than its factorization.

407143341704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146494 (or 5146490 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

It can be divided in two parts, 407143 and 341704, that added together give a palindrome (748847).

The spelling of 407143341704 in words is "four hundred seven billion, one hundred forty-three million, three hundred forty-one thousand, seven hundred four".

Divisors: 1 2 4 8 11 22 29 31 44 58 62 88 116 124 232 248 319 341 638 682 899 1276 1364 1798 2552 2728 3596 7192 9889 19778 39556 79112 5146417 10292834 20585668 41171336 56610587 113221174 149246093 159538927 226442348 298492186 319077854 452884696 596984372 638155708 1193968744 1276311416 1641707023 1754928197 3283414046 3509856394 4626628883 6566828092 7019712788 9253257766 13133656184 14039425576 18506515532 37013031064 50892917713 101785835426 203571670852 407143341704