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41002113141024 = 253761015049317
BaseRepresentation
bin10010101001010100011000…
…11000111000100100100000
312101011202121202121010022220
421110222030120320210200
520333234311431003044
6223112035530431040
711431206405150540
oct1124521430704440
9171152552533286
1041002113141024
1112078997a44102
124722598892480
1319b56375a25b9
14a1a72742d320
154b185bc44019
hex254a8c638920

41002113141024 has 48 divisors (see below), whose sum is σ = 123006339425088. Its totient is φ = 11714889468672.

The previous prime is 41002113140987. The next prime is 41002113141043. The reversal of 41002113141024 is 42014131120014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41002113140985 and 41002113141003.

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 7 ways as a sum of consecutive naturals, for example, 30507523987 + ... + 30507525330.

It is an arithmetic number, because the mean of its divisors is an integer number (2562632071356).

Almost surely, 241002113141024 is an apocalyptic number.

It is an amenable number.

41002113141024 is an abundant number, since it is smaller than the sum of its proper divisors (82004226284064).

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

41002113141024 is a wasteful number, since it uses less digits than its factorization.

41002113141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61015049337 (or 61015049329 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 41002113141024 its reverse (42014131120014), we get a palindrome (83016244261038).

The spelling of 41002113141024 in words is "forty-one trillion, two billion, one hundred thirteen million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 61015049317 122030098634 183045147951 244060197268 366090295902 427105345219 488120394536 732180591804 854210690438 976240789072 1281316035657 1464361183608 1708421380876 1952481578144 2562632071314 2928722367216 3416842761752 5125264142628 5857444734432 6833685523504 10250528285256 13667371047008 20501056570512 41002113141024