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40754677680 = 24325139407221
BaseRepresentation
bin100101111101001010…
…110000011110110000
310220012021010010122200
4211331022300132300
51131431144141210
630420014103200
72641640021163
oct457512603660
9126167103580
1040754677680
1116313a53602
127a947aab00
133ac65271c2
141d888d9ada
1510d7daa0c0
hex97d2b07b0

40754677680 has 120 divisors (see below), whose sum is σ = 137852791440. Its totient is φ = 10789701120.

The previous prime is 40754677673. The next prime is 40754677681. The reversal of 40754677680 is 8677645704.

40754677680 is a `hidden beast` number, since 40 + 75 + 467 + 76 + 8 + 0 = 666.

40754677680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (40754677681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103531 + ... + 303690.

It is an arithmetic number, because the mean of its divisors is an integer number (1148773262).

Almost surely, 240754677680 is an apocalyptic number.

40754677680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40754677680 is an abundant number, since it is smaller than the sum of its proper divisors (97098113760).

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

40754677680 is a wasteful number, since it uses less digits than its factorization.

40754677680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407379 (or 407370 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 40754677680 in words is "forty billion, seven hundred fifty-four million, six hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 139 144 180 240 278 360 417 556 695 720 834 1112 1251 1390 1668 2085 2224 2502 2780 3336 4170 5004 5560 6255 6672 8340 10008 11120 12510 16680 20016 25020 33360 50040 100080 407221 814442 1221663 1628884 2036105 2443326 3257768 3664989 4072210 4886652 6108315 6515536 7329978 8144420 9773304 12216630 14659956 16288840 18324945 19546608 24433260 29319912 32577680 36649890 48866520 56603719 58639824 73299780 97733040 113207438 146599560 169811157 226414876 283018595 293199120 339622314 452829752 509433471 566037190 679244628 849055785 905659504 1018866942 1132074380 1358489256 1698111570 2037733884 2264148760 2547167355 2716978512 3396223140 4075467768 4528297520 5094334710 6792446280 8150935536 10188669420 13584892560 20377338840 40754677680