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41438058480 = 243257135311933
BaseRepresentation
bin100110100101111001…
…101001011111110000
310221221220000110212200
4212211321221133300
51134331120332410
631011505223200
72664605454060
oct464571513760
9127856013780
1041438058480
1116634781725
128045631b00
133ba4c97c40
1420115893a0
151127d983c0
hex9a5e697f0

41438058480 has 480 divisors, whose sum is σ = 174523579776. Its totient is φ = 8577294336.

The previous prime is 41438058469. The next prime is 41438058509. The reversal of 41438058480 is 8485083414.

41438058480 is a `hidden beast` number, since 4 + 1 + 43 + 80 + 58 + 480 = 666.

It is a super-2 number, since 2×414380584802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3466594 + ... + 3478526.

Almost surely, 241438058480 is an apocalyptic number.

41438058480 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 41438058480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87261789888).

41438058480 is an abundant number, since it is smaller than the sum of its proper divisors (133085521296).

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

41438058480 is a wasteful number, since it uses less digits than its factorization.

41438058480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 41438058480 in words is "forty-one billion, four hundred thirty-eight million, fifty-eight thousand, four hundred eighty".