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40204232320 = 275731289489
BaseRepresentation
bin100101011100010110…
…111110011010000000
310211202220100121120111
4211130112332122000
51124314240413240
630245232121104
72622204223210
oct453426763200
9124686317514
1040204232320
111606127188a
127960396194
133a3948c0a5
141d35772240
1510a48ca1ea
hex95c5be680

40204232320 has 128 divisors (see below), whose sum is σ = 113387443200. Its totient is φ = 13339607040.

The previous prime is 40204232317. The next prime is 40204232329. The reversal of 40204232320 is 2323240204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 40204232291 and 40204232300.

It is not an unprimeable number, because it can be changed into a prime (40204232329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5865 + ... + 283624.

It is an arithmetic number, because the mean of its divisors is an integer number (885839400).

Almost surely, 240204232320 is an apocalyptic number.

40204232320 is a gapful number since it is divisible by the number (40) 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 40204232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56693721600).

40204232320 is an abundant number, since it is smaller than the sum of its proper divisors (73183210880).

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

40204232320 is a wasteful number, since it uses less digits than its factorization.

40204232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289546 (or 289534 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 40204232320 its reverse (2323240204), we get a palindrome (42527472524).

The spelling of 40204232320 in words is "forty billion, two hundred four million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 17360 19840 27776 34720 69440 138880 289489 578978 1157956 1447445 2026423 2315912 2894890 4052846 4631824 5789780 8105692 8974159 9263648 10132115 11579560 16211384 17948318 18527296 20264230 23159120 32422768 35896636 37054592 40528460 44870795 46318240 62819113 64845536 71793272 81056920 89741590 92636480 125638226 129691072 143586544 162113840 179483180 185272960 251276452 259382144 287173088 314095565 324227680 358966360 502552904 574346176 628191130 648455360 717932720 1005105808 1148692352 1256382260 1296910720 1435865440 2010211616 2512764520 2871730880 4020423232 5025529040 5743461760 8040846464 10051058080 20102116160 40204232320