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430040104431 = 37109293641203
BaseRepresentation
bin1100100001000000110…
…00110011110111101111
31112010000020022210022020
412100200120303313233
524021210231320211
6525320243521223
743032536401260
oct6204030636757
91463006283266
10430040104431
11156419478493
126b417689213
1331725105672
1416b57a8a967
15b2bdce5306
hex6420633def

430040104431 has 32 divisors (see below), whose sum is σ = 663569195520. Its totient is φ = 242651355264.

The previous prime is 430040104421. The next prime is 430040104453. The reversal of 430040104431 is 134401040034.

It is not a de Polignac number, because 430040104431 - 26 = 430040104367 is a prime.

It is a super-2 number, since 2×4300401044312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430040104421) 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, 350076 + ... + 991278.

It is an arithmetic number, because the mean of its divisors is an integer number (20736537360).

Almost surely, 2430040104431 is an apocalyptic number.

430040104431 is a deficient number, since it is larger than the sum of its proper divisors (233529091089).

430040104431 is a wasteful number, since it uses less digits than its factorization.

430040104431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641615.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 430040104431 its reverse (134401040034), we get a palindrome (564441144465).

The spelling of 430040104431 in words is "four hundred thirty billion, forty million, one hundred four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 109 293 327 763 879 2051 2289 6153 31937 95811 223559 641203 670677 1923609 4488421 13465263 69891127 187872479 209673381 489237889 563617437 1315107353 1467713667 3945322059 20478100211 61434300633 143346701477 430040104431