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40116042180 = 22345139178151
BaseRepresentation
bin100101010111000110…
…100011100111000100
310211112202102002110000
4211113012203213010
51124124201322210
630232402001300
72620053506124
oct452706434704
9124482362400
1040116042180
1116016507275
127936946230
133a24121b86
141d27b76c84
15109bca9ac0
hex9571a39c4

40116042180 has 120 divisors (see below), whose sum is σ = 126751584960. Its totient is φ = 10620590400.

The previous prime is 40116042167. The next prime is 40116042223. The reversal of 40116042180 is 8124061104.

It is a happy number.

40116042180 is a `hidden beast` number, since 4 + 0 + 1 + 160 + 421 + 80 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 136105 + ... + 314255.

It is an arithmetic number, because the mean of its divisors is an integer number (1056263208).

Almost surely, 240116042180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40116042180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63375792480).

40116042180 is an abundant number, since it is smaller than the sum of its proper divisors (86635542780).

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

40116042180 is a wasteful number, since it uses less digits than its factorization.

40116042180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178311 (or 178300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 40116042180 in words is "forty billion, one hundred sixteen million, forty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 139 162 180 270 278 324 405 417 540 556 695 810 834 1251 1390 1620 1668 2085 2502 2780 3753 4170 5004 6255 7506 8340 11259 12510 15012 18765 22518 25020 37530 45036 56295 75060 112590 178151 225180 356302 534453 712604 890755 1068906 1603359 1781510 2137812 2672265 3206718 3563020 4810077 5344530 6413436 8016795 9620154 10689060 14430231 16033590 19240308 24050385 24762989 28860462 32067180 48100770 49525978 57720924 72151155 74288967 96201540 99051956 123814945 144302310 148577934 222866901 247629890 288604620 297155868 371444835 445733802 495259780 668600703 742889670 891467604 1114334505 1337201406 1485779340 2005802109 2228669010 2674402812 3343003515 4011604218 4457338020 6686007030 8023208436 10029010545 13372014060 20058021090 40116042180