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132430124412 = 2232191397011987
BaseRepresentation
bin111101101010101110…
…0110101010101111100
3110122211021122100121200
41323111130311111330
54132204102440122
6140500525055500
712365512325115
oct1732534652574
9418737570550
10132430124412
1151188397613
12217ba6b7590
13c6464a9c81
1465a412b20c
1536a138a5ac
hex1ed573557c

132430124412 has 144 divisors (see below), whose sum is σ = 355592764800. Its totient is φ = 41439081600.

The previous prime is 132430124401. The next prime is 132430124443. The reversal of 132430124412 is 214421034231.

132430124412 is a `hidden beast` number, since 1 + 3 + 243 + 0 + 1 + 2 + 4 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66647283 + ... + 66649269.

It is an arithmetic number, because the mean of its divisors is an integer number (2469394200).

Almost surely, 2132430124412 is an apocalyptic number.

132430124412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132430124412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177796382400).

132430124412 is an abundant number, since it is smaller than the sum of its proper divisors (223162640388).

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

132430124412 is a wasteful number, since it uses less digits than its factorization.

132430124412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132430124412 its reverse (214421034231), we get a palindrome (346851158643).

The spelling of 132430124412 in words is "one hundred thirty-two billion, four hundred thirty million, one hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 139 171 228 278 342 417 556 684 701 834 1251 1402 1668 1987 2103 2502 2641 2804 3974 4206 5004 5282 5961 6309 7923 7948 8412 10564 11922 12618 13319 15846 17883 23769 23844 25236 26638 31692 35766 37753 39957 47538 53276 71532 75506 79914 95076 97439 113259 119871 151012 159828 194878 226518 239742 276193 292317 339777 389756 453036 479484 552386 584634 679554 828579 876951 1104772 1169268 1359108 1392887 1657158 1753902 1851341 2485737 2785774 3314316 3507804 3702682 4178661 4971474 5247667 5554023 5571548 7405364 8357322 9942948 10495334 11108046 12535983 15743001 16662069 16714644 20990668 22216092 25071966 26464853 31486002 33324138 47229003 50143932 52929706 62972004 66648276 79394559 94458006 105859412 158789118 188916012 193611293 238183677 317578236 387222586 476367354 580833879 774445172 952734708 1161667758 1742501637 2323335516 3485003274 3678614567 6970006548 7357229134 11035843701 14714458268 22071687402 33107531103 44143374804 66215062206 132430124412