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201330432240 = 24357331362053
BaseRepresentation
bin1011101110000000111…
…0101001100011110000
3201020200001201122102120
42323200032221203300
511244311042312430
6232253453514240
720355104303130
oct2734016514360
9636601648376
10201330432240
1178424864683
12330291a2980
1315ca6b50aa2
149a5ca84ac0
155385176610
hex2ee03a98f0

201330432240 has 160 divisors (see below), whose sum is σ = 715441875456. Its totient is φ = 45879229440.

The previous prime is 201330432223. The next prime is 201330432269. The reversal of 201330432240 is 42234033102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201330432240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375054 + ... + 737106.

Almost surely, 2201330432240 is an apocalyptic number.

201330432240 is a gapful number since it is divisible by the number (20) 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 201330432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357720937728).

201330432240 is an abundant number, since it is smaller than the sum of its proper divisors (514111443216).

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

201330432240 is a wasteful number, since it uses less digits than its factorization.

201330432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362407 (or 362401 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201330432240 its reverse (42234033102), we get a palindrome (243564465342).

The spelling of 201330432240 in words is "two hundred one billion, three hundred thirty million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 331 336 420 560 662 840 993 1324 1655 1680 1986 2317 2648 3310 3972 4634 4965 5296 6620 6951 7944 9268 9930 11585 13240 13902 15888 18536 19860 23170 26480 27804 34755 37072 39720 46340 55608 69510 79440 92680 111216 139020 185360 278040 362053 556080 724106 1086159 1448212 1810265 2172318 2534371 2896424 3620530 4344636 5068742 5430795 5792848 7241060 7603113 8689272 10137484 10861590 12671855 14482120 15206226 17378544 20274968 21723180 25343710 28964240 30412452 38015565 40549936 43446360 50687420 60824904 76031130 86892720 101374840 119839543 121649808 152062260 202749680 239679086 304124520 359518629 479358172 599197715 608249040 719037258 838876801 958716344 1198395430 1438074516 1677753602 1797593145 1917432688 2396790860 2516630403 2876149032 3355507204 3595186290 4194384005 4793581720 5033260806 5752298064 6711014408 7190372580 8388768010 9587163440 10066521612 12583152015 13422028816 14380745160 16777536020 20133043224 25166304030 28761490320 33555072040 40266086448 50332608060 67110144080 100665216120 201330432240