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431234041264 = 241312716324729
BaseRepresentation
bin1100100011001111000…
…11010100010110110000
31112020002102221001201221
412101213203110112300
524031131403310024
6530034534034424
743104244604545
oct6214743242660
91466072831657
10431234041264
11156981412944
126b6ab4a8a14
1331885586170
1416c2c47cbcc
15b33da343e4
hex64678d45b0

431234041264 has 40 divisors (see below), whose sum is σ = 906871400960. Its totient is φ = 197463909888.

The previous prime is 431234041247. The next prime is 431234041267. The reversal of 431234041264 is 462140432134.

It is a super-3 number, since 3×4312340412643 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (431234041267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8135949 + ... + 8188780.

It is an arithmetic number, because the mean of its divisors is an integer number (22671785024).

Almost surely, 2431234041264 is an apocalyptic number.

It is an amenable number.

431234041264 is an abundant number, since it is smaller than the sum of its proper divisors (475637359696).

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

431234041264 is a wasteful number, since it uses less digits than its factorization.

431234041264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16324877 (or 16324871 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 431234041264 its reverse (462140432134), we get a palindrome (893374473398).

The spelling of 431234041264 in words is "four hundred thirty-one billion, two hundred thirty-four million, forty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 1016 1651 2032 3302 6604 13208 26416 16324729 32649458 65298916 130597832 212221477 261195664 424442954 848885908 1697771816 2073240583 3395543632 4146481166 8292962332 16585924664 26952127579 33171849328 53904255158 107808510316 215617020632 431234041264