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41980542240 = 253572133143103
BaseRepresentation
bin100111000110001111…
…000011110100100000
311000100200210111200210
4213012033003310200
51141434004322430
631141404414120
73014213502300
oct470617036440
9130320714623
1041980542240
1116892a1580a
128177247340
133c604a6250
14206363d600
15115a8042b0
hex9c63c3d20

41980542240 has 1152 divisors, whose sum is σ = 176681336832. Its totient is φ = 8291082240.

The previous prime is 41980542239. The next prime is 41980542311. The reversal of 41980542240 is 4224508914.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407578029 + ... + 407578131.

It is an arithmetic number, because the mean of its divisors is an integer number (153369216).

Almost surely, 241980542240 is an apocalyptic number.

41980542240 is a gapful number since it is divisible by the number (40) 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 41980542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88340668416).

41980542240 is an abundant number, since it is smaller than the sum of its proper divisors (134700794592).

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

41980542240 is a wasteful number, since it uses less digits than its factorization.

41980542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 41980542240 in words is "forty-one billion, nine hundred eighty million, five hundred forty-two thousand, two hundred forty".