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234132450501000 = 23353107729384581
BaseRepresentation
bin110101001111000100110101…
…100010101110000110001000
31010200222211210001000010000210
4311033010311202232012020
5221142011224312013000
62145542543552401120
7100213340246503242
oct6517046542560610
91120884701003023
10234132450501000
116866901853a837
122231452bb461a0
13a084797c8946c
1441b60dd023092
151c104c7d86350
hexd4f1358ae188

234132450501000 has 128 divisors (see below), whose sum is σ = 737320286252160. Its totient is φ = 61851812384000.

The previous prime is 234132450500957. The next prime is 234132450501007. The reversal of 234132450501000 is 105054231432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (234132450501007) 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, 364371291 + ... + 365013290.

It is an arithmetic number, because the mean of its divisors is an integer number (5760314736345).

Almost surely, 2234132450501000 is an apocalyptic number.

234132450501000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234132450501000 is an abundant number, since it is smaller than the sum of its proper divisors (503187835751160).

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

234132450501000 is a wasteful number, since it uses less digits than its factorization.

234132450501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729384712 (or 729384698 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 234132450501000 in words is "two hundred thirty-four trillion, one hundred thirty-two billion, four hundred fifty million, five hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 642 750 856 1000 1070 1284 1500 1605 2140 2568 2675 3000 3210 4280 5350 6420 8025 10700 12840 13375 16050 21400 26750 32100 40125 53500 64200 80250 107000 160500 321000 729384581 1458769162 2188153743 2917538324 3646922905 4376307486 5835076648 7293845810 8752614972 10940768715 14587691620 17505229944 18234614525 21881537430 29175383240 36469229050 43763074860 54703843575 72938458100 78044150167 87526149720 91173072625 109407687150 145876916200 156088300334 182346145250 218815374300 234132450501 273519217875 312176600668 364692290500 390220750835 437630748600 468264901002 547038435750 624353201336 729384581000 780441501670 936529802004 1094076871500 1170662252505 1560883003340 1873059604008 1951103754175 2188153743000 2341324505010 3121766006680 3902207508350 4682649010020 5853311262525 7804415016700 9365298020040 9755518770875 11706622525050 15608830033400 19511037541750 23413245050100 29266556312625 39022075083500 46826490100200 58533112625250 78044150167000 117066225250500 234132450501000