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41140551312 = 2432725830577
BaseRepresentation
bin100110010100001010…
…101111111010010000
310221012011012112202200
4212110022233322100
51133223440120222
630522200443200
72654333626200
oct462412577220
9127164175680
1041140551312
11164a1850133
127b81a79500
133b584609b3
141dc3c64400
15110bbcceac
hex9942afe90

41140551312 has 90 divisors (see below), whose sum is σ = 133934207238. Its totient is φ = 11754441216.

The previous prime is 41140551299. The next prime is 41140551337. The reversal of 41140551312 is 21315504114.

41140551312 is a `hidden beast` number, since 4 + 1 + 140 + 5 + 513 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39165993216 + 1974558096 = 197904^2 + 44436^2 .

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 17 ways as a sum of consecutive naturals, for example, 2908233 + ... + 2922344.

Almost surely, 241140551312 is an apocalyptic number.

41140551312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41140551312 is an abundant number, since it is smaller than the sum of its proper divisors (92793655926).

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

41140551312 is a wasteful number, since it uses less digits than its factorization.

41140551312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830605 (or 5830589 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 41140551312 in words is "forty-one billion, one hundred forty million, five hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 5830577 11661154 17491731 23322308 34983462 40814039 46644616 52475193 69966924 81628078 93289232 104950386 122442117 139933848 163256156 209900772 244884234 279867696 285698273 326512312 367326351 419801544 489768468 571396546 653024624 734652702 839603088 857094819 979536936 1142793092 1469305404 1714189638 1959073872 2285586184 2571284457 2938610808 3428379276 4571172368 5142568914 5877221616 6856758552 10285137828 13713517104 20570275656 41140551312