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41405924616 = 233723292231657
BaseRepresentation
bin100110100011111111…
…000100010100001000
310221212122112220111120
4212203333010110020
51134244404041431
631004400355240
72664035360250
oct464377042410
9127778486446
1041405924616
1116618624011
128036915b20
133b9b426914
14200b1c2960
15112514c196
hex9a3fc4508

41405924616 has 256 divisors, whose sum is σ = 128353075200. Its totient is φ = 10870142976.

The previous prime is 41405924603. The next prime is 41405924653. The reversal of 41405924616 is 61642950414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24987660 + ... + 24989316.

It is an arithmetic number, because the mean of its divisors is an integer number (501379200).

Almost surely, 241405924616 is an apocalyptic number.

41405924616 is a gapful number since it is divisible by the number (46) 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 41405924616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64176537600).

41405924616 is an abundant number, since it is smaller than the sum of its proper divisors (86947150584).

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

41405924616 is a wasteful number, since it uses less digits than its factorization.

41405924616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 41405924616 in words is "forty-one billion, four hundred five million, nine hundred twenty-four thousand, six hundred sixteen".