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431326432116 = 2232192239281641
BaseRepresentation
bin1100100011011010000…
…11110000101101110100
31112020022212210000011100
412101231003300231310
524031324031311431
6530052034210100
743106446115616
oct6215503605564
91466285700140
10431326432116
11156a19587518
126b716423930
133189b7643c8
1416c3a84cdb6
15b346bd44e6
hex646d0f0b74

431326432116 has 72 divisors (see below), whose sum is σ = 1148198105600. Its totient is φ = 136147029120.

The previous prime is 431326432091. The next prime is 431326432129. The reversal of 431326432116 is 611234623134.

431326432116 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 2 + 643 + 2 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390656 + ... + 1672296.

Almost surely, 2431326432116 is an apocalyptic number.

It is an amenable number.

431326432116 is an abundant number, since it is smaller than the sum of its proper divisors (716871673484).

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

431326432116 is a wasteful number, since it uses less digits than its factorization.

431326432116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283909 (or 283904 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 431326432116 in words is "four hundred thirty-one billion, three hundred twenty-six million, four hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 2239 4478 6717 8956 13434 20151 26868 40302 42541 80604 85082 127623 170164 255246 281641 382869 510492 563282 765738 844923 1126564 1531476 1689846 2534769 3379692 5069538 5351179 10139076 10702358 16053537 21404716 32107074 48160611 64214148 96321222 192642444 630594199 1261188398 1891782597 2522376796 3783565194 5675347791 7567130388 11350695582 11981289781 22701391164 23962579562 35943869343 47925159124 71887738686 107831608029 143775477372 215663216058 431326432116