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434046431424 = 26318787120331
BaseRepresentation
bin1100101000011110010…
…11101111000011000000
31112111100102221021202110
412110033023233003000
524102411341301144
6531222001215320
743234034536014
oct6241713570300
91474312837673
10434046431424
11158094993231
1270155331540
1331c13130b58
1417017baa544
15b4558ba0b9
hex650f2ef0c0

434046431424 has 56 divisors (see below), whose sum is σ = 1148485188928. Its totient is φ = 144673240320.

The previous prime is 434046431411. The next prime is 434046431473. The reversal of 434046431424 is 424134640434.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3546939 + ... + 3667269.

It is an arithmetic number, because the mean of its divisors is an integer number (20508664088).

Almost surely, 2434046431424 is an apocalyptic number.

It is an amenable number.

434046431424 is an abundant number, since it is smaller than the sum of its proper divisors (714438757504).

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

434046431424 is a wasteful number, since it uses less digits than its factorization.

434046431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139133 (or 139123 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

The spelling of 434046431424 in words is "four hundred thirty-four billion, forty-six million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 18787 37574 56361 75148 112722 120331 150296 225444 240662 300592 360993 450888 481324 601184 721986 901776 962648 1202368 1443972 1803552 1925296 2887944 3607104 3850592 5775888 7701184 11551776 23103552 2260658497 4521316994 6781975491 9042633988 13563950982 18085267976 27127901964 36170535952 54255803928 72341071904 108511607856 144682143808 217023215712 434046431424