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143040314232 = 23334125936229
BaseRepresentation
bin1000010100110111011…
…1011111101101111000
3111200012201120211211000
42011031313133231320
54320421310023412
6145413430205000
713222446416124
oct2051567375570
9450181524730
10143040314232
115573258a232
122387bab3760
13106477200ba
146ccd32a584
153ac2aca4dc
hex214dddfb78

143040314232 has 128 divisors (see below), whose sum is σ = 407247624000. Its totient is φ = 46491770880.

The previous prime is 143040314189. The next prime is 143040314281. The reversal of 143040314232 is 232413040341.

143040314232 is a `hidden beast` number, since 14 + 3 + 0 + 403 + 14 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 143040314196 and 143040314205.

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 31 ways as a sum of consecutive naturals, for example, 22960494 + ... + 22966722.

Almost surely, 2143040314232 is an apocalyptic number.

143040314232 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 143040314232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203623812000).

143040314232 is an abundant number, since it is smaller than the sum of its proper divisors (264207309768).

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

143040314232 is a wasteful number, since it uses less digits than its factorization.

143040314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8868 counting only the distinct ones).

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

Adding to 143040314232 its reverse (232413040341), we get a palindrome (375453354573).

The spelling of 143040314232 in words is "one hundred forty-three billion, forty million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2593 2952 4428 5186 6229 7779 8856 10372 12458 15558 18687 20744 23337 24916 31116 37374 46674 49832 56061 62232 70011 74748 93348 106313 112122 140022 149496 168183 186696 212626 224244 255389 280044 318939 336366 425252 448488 510778 560088 637878 672732 766167 850504 956817 1021556 1275756 1345464 1532334 1913634 2043112 2298501 2551512 2870451 3064668 3827268 4597002 5740902 6129336 6895503 7654536 9194004 11481804 13791006 16151797 18388008 22963608 27582012 32303594 48455391 55164024 64607188 96910782 129214376 145366173 193821564 290732346 387643128 436098519 581464692 662223677 872197038 1162929384 1324447354 1744394076 1986671031 2648894708 3488788152 3973342062 5297789416 5960013093 7946684124 11920026186 15893368248 17880039279 23840052372 35760078558 47680104744 71520157116 143040314232