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431421404124134 = 210117337193319541
BaseRepresentation
bin110001000011000000001111…
…1100010101001001111100110
32002120112111001102120211120002
41202012000133202221033212
5423021402013423433014
64125320131301341302
7156605111401126064
oct14206003742511746
92076474042524502
10431421404124134
1111551187654a226
1240478437407832
1315695b2cb32478
147876c9bb8d034
1534d23da1dedde
hex188601f8a93e6

431421404124134 has 32 divisors (see below), whose sum is σ = 657493982602560. Its totient is φ = 212283255184000.

The previous prime is 431421404124133. The next prime is 431421404124169.

431421404124134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4314214041241342 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431421404124133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128304404 + ... + 131623944.

It is an arithmetic number, because the mean of its divisors is an integer number (20546686956330).

Almost surely, 2431421404124134 is an apocalyptic number.

431421404124134 is a deficient number, since it is larger than the sum of its proper divisors (226072578478426).

431421404124134 is a wasteful number, since it uses less digits than its factorization.

431421404124134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323536.

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 43142140 and 4124134, that added together give a palindrome (47266274).

The spelling of 431421404124134 in words is "four hundred thirty-one trillion, four hundred twenty-one billion, four hundred four million, one hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 101 173 202 346 3719 7438 17473 34946 375619 643387 751238 1286774 3319541 6639082 64982087 129964174 335273641 574280593 670547282 1148561186 12345372979 24690745958 58002339893 116004679786 1246882670879 2135749525367 2493765341758 4271499050734 215710702062067 431421404124134