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40043115120 = 24351710699181
BaseRepresentation
bin100101010010110000…
…010111001001110000
310211100200012000022210
4211102300113021300
51124002014140440
630221234532120
72615206601601
oct452260271160
9124320160283
1040043115120
1115a89327078
127916437040
133a11c99c78
141d1c1d1da8
1510956a1a80
hex952c17270

40043115120 has 160 divisors (see below), whose sum is σ = 131572918080. Its totient is φ = 10039541760.

The previous prime is 40043115083. The next prime is 40043115149. The reversal of 40043115120 is 2151134004.

It is a super-2 number, since 2×400431151202 (a number of 22 digits) contains 22 as substring.

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, 4356930 + ... + 4366110.

It is an arithmetic number, because the mean of its divisors is an integer number (822330738).

Almost surely, 240043115120 is an apocalyptic number.

40043115120 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 40043115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65786459040).

40043115120 is an abundant number, since it is smaller than the sum of its proper divisors (91529802960).

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

40043115120 is a wasteful number, since it uses less digits than its factorization.

40043115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10283 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 40043115120 its reverse (2151134004), we get a palindrome (42194249124).

The spelling of 40043115120 in words is "forty billion, forty-three million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1069 1360 2040 2138 3207 4080 4276 5345 6414 8552 9181 10690 12828 16035 17104 18173 18362 21380 25656 27543 32070 36346 36724 42760 45905 51312 54519 55086 64140 72692 73448 85520 90865 91810 109038 110172 128280 137715 145384 146896 156077 181730 183620 218076 220344 256560 272595 275430 290768 312154 363460 367240 436152 440688 468231 545190 550860 624308 726920 734480 780385 872304 936462 1090380 1101720 1248616 1453840 1560770 1872924 2180760 2203440 2341155 2497232 3121540 3745848 4361520 4682310 6243080 7491696 9364620 9814489 12486160 18729240 19628978 29443467 37458480 39257956 49072445 58886934 78515912 98144890 117773868 147217335 157031824 166846313 196289780 235547736 294434670 333692626 392579560 471095472 500538939 588869340 667385252 785159120 834231565 1001077878 1177738680 1334770504 1668463130 2002155756 2355477360 2502694695 2669541008 3336926260 4004311512 5005389390 6673852520 8008623024 10010778780 13347705040 20021557560 40043115120