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423410430132 = 2232314719794079
BaseRepresentation
bin1100010100101010011…
…10100111000010110100
31111110220012102102212200
412022111032213002310
523414121032231012
6522302334544500
742406335162624
oct6122516470264
91443805372780
10423410430132
11153627171018
126a087368130
1330c09751371
14166c93ac884
15b031c7c3dc
hex62953a70b4

423410430132 has 144 divisors (see below), whose sum is σ = 1129166438400. Its totient is φ = 133577663040.

The previous prime is 423410430119. The next prime is 423410430203. The reversal of 423410430132 is 231034014324.

423410430132 is a `hidden beast` number, since 423 + 4 + 104 + 3 + 0 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 423410430096 and 423410430105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103800469 + ... + 103804547.

It is an arithmetic number, because the mean of its divisors is an integer number (7841433600).

Almost surely, 2423410430132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423410430132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564583219200).

423410430132 is an abundant number, since it is smaller than the sum of its proper divisors (705756008268).

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

423410430132 is a wasteful number, since it uses less digits than its factorization.

423410430132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 423410430132 its reverse (231034014324), we get a palindrome (654444444456).

The spelling of 423410430132 in words is "four hundred twenty-three billion, four hundred ten million, four hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 1116 1457 1692 1979 2914 3958 4079 4371 5828 5937 7916 8158 8742 11874 12237 13113 16316 17484 17811 23748 24474 26226 35622 36711 48948 52452 61349 71244 73422 93013 122698 126449 146844 184047 186026 191713 245396 252898 279039 368094 372052 379347 383426 505796 552141 558078 575139 736188 758694 766852 837117 1104282 1116156 1138041 1150278 1517388 1674234 1725417 2208564 2276082 2300556 2883403 3348468 3450834 4552164 5766806 5943103 6901668 8072341 8650209 11533612 11886206 16144682 17300418 17829309 23772412 24217023 25950627 32289364 34600836 35658618 48434046 51901254 53487927 71317236 72651069 96868092 103802508 106975854 145302138 213951708 250242571 290604276 379400027 500485142 750727713 758800054 1000970284 1138200081 1501455426 1517600108 2252183139 2276400162 3002910852 3414600243 4504366278 4552800324 6829200486 9008732556 11761400837 13658400972 23522801674 35284202511 47045603348 70568405022 105852607533 141136810044 211705215066 423410430132