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434124421434 = 232116135943403
BaseRepresentation
bin1100101000100111101…
…01001111100100111010
31112111112212200120221100
412110103311033210322
524103041322441214
6531233424552230
743236002461104
oct6242365174472
91474485616840
10434124421434
11158124a11290
1270177482676
1331c263393a2
14170242ac574
15b45c673309
hex6513d4f93a

434124421434 has 48 divisors (see below), whose sum is σ = 1042933810464. Its totient is φ = 129396247200.

The previous prime is 434124421369. The next prime is 434124421463.

434124421434 is a `hidden beast` number, since 434 + 1 + 2 + 4 + 4 + 214 + 3 + 4 = 666.

434124421434 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17959624 + ... + 17983779.

It is an arithmetic number, because the mean of its divisors is an integer number (21727787718).

Almost surely, 2434124421434 is an apocalyptic number.

434124421434 is an abundant number, since it is smaller than the sum of its proper divisors (608809389030).

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

434124421434 is a wasteful number, since it uses less digits than its factorization.

434124421434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35943483 (or 35943480 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 434124 and 421434, that added together give a palindrome (855558).

The spelling of 434124421434 in words is "four hundred thirty-four billion, one hundred twenty-four million, four hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 12078 35943403 71886806 107830209 215660418 323490627 395377433 646981254 790754866 1186132299 2192547583 2372264598 3558396897 4385095166 6577642749 7116793794 13155285498 19732928247 24118023413 39465856494 48236046826 72354070239 144708140478 217062210717 434124421434