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431400234133221 = 323933112231486301
BaseRepresentation
bin110001000010110110011000…
…1101101100010011011100101
32002120110110102001111212111120
41202011230301231202123211
5423021030134414230341
64125302310455124153
7156603431651151003
oct14205546155423345
92076413361455446
10431400234133221
111155038a2650771
1240474309673659
1315693b37c3c522
147875c50349a73
1534d1a9b8b5066
hex1885b31b626e5

431400234133221 has 32 divisors (see below), whose sum is σ = 579826148290560. Its totient is φ = 285297900888000.

The previous prime is 431400234133181. The next prime is 431400234133327. The reversal of 431400234133221 is 122331432004134.

It is not a de Polignac number, because 431400234133221 - 217 = 431400234002149 is a prime.

It is a super-2 number, since 2×4314002341332212 (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 (431400230133221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289507771 + ... + 290994071.

It is an arithmetic number, because the mean of its divisors is an integer number (18119567134080).

Almost surely, 2431400234133221 is an apocalyptic number.

It is an amenable number.

431400234133221 is a deficient number, since it is larger than the sum of its proper divisors (148425914157339).

431400234133221 is a wasteful number, since it uses less digits than its factorization.

431400234133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488097.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 431400234133221 its reverse (122331432004134), we get a palindrome (553731666137355).

The spelling of 431400234133221 in words is "four hundred thirty-one trillion, four hundred billion, two hundred thirty-four million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 239 331 717 993 1223 3669 79109 237327 292297 404813 876891 1214439 1486301 4458903 96750307 290250921 355225939 491965631 1065677817 1475896893 1817746123 5453238369 117579785809 352739357427 434441323397 601673966713 1303323970191 1805021900139 143800078044407 431400234133221