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41974384144 = 2471173946103
BaseRepresentation
bin100111000101110111…
…100100011000010000
311000100021012122101011
4213011313210120100
51141430420243034
631141024420304
73014110243540
oct470567443020
9130307178334
1041974384144
111688a49a080
128175177694
133c5c12b2c4
1420628b9320
151159ed9864
hex9c5de4610

41974384144 has 80 divisors (see below), whose sum is σ = 101532072960. Its totient is φ = 16331172480.

The previous prime is 41974384069. The next prime is 41974384159. The reversal of 41974384144 is 44148347914.

It is a super-2 number, since 2×419743841442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887397 + ... + 933499.

It is an arithmetic number, because the mean of its divisors is an integer number (1269150912).

Almost surely, 241974384144 is an apocalyptic number.

41974384144 is a gapful number since it is divisible by the number (44) 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 41974384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50766036480).

41974384144 is an abundant number, since it is smaller than the sum of its proper divisors (59557688816).

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

41974384144 is a wasteful number, since it uses less digits than its factorization.

41974384144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46868 (or 46862 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The spelling of 41974384144 in words is "forty-one billion, nine hundred seventy-four million, three hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 739 1232 1478 2956 5173 5912 8129 10346 11824 16258 20692 32516 41384 46103 56903 65032 82768 92206 113806 130064 184412 227612 322721 368824 455224 507133 645442 737648 910448 1014266 1290884 2028532 2581768 3549931 4057064 5163536 7099862 8114128 14199724 28399448 34070117 56798896 68140234 136280468 238490819 272560936 374771287 476981638 545121872 749542574 953963276 1499085148 1907926552 2623399009 2998170296 3815853104 5246798018 5996340592 10493596036 20987192072 41974384144