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41401181136 = 2437379139229
BaseRepresentation
bin100110100011101100…
…111110001111010000
310221212022121220200010
4212203230332033100
51134242200244021
631004110554520
72663650143000
oct464354761720
9127768556603
1041401181136
1116615984187
128035208a40
133b9a455823
14200a70a000
151124a11976
hex9a3b3e3d0

41401181136 has 320 divisors, whose sum is σ = 127769600000. Its totient is φ = 11544519168.

The previous prime is 41401181131. The next prime is 41401181137. The reversal of 41401181136 is 63118110414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41401181131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180791070 + ... + 180791298.

It is an arithmetic number, because the mean of its divisors is an integer number (399280000).

Almost surely, 241401181136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41401181136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63884800000).

41401181136 is an abundant number, since it is smaller than the sum of its proper divisors (86368418864).

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

41401181136 is a wasteful number, since it uses less digits than its factorization.

41401181136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 41401181136 in words is "forty-one billion, four hundred one million, one hundred eighty-one thousand, one hundred thirty-six".