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41324508480 = 26351723891237
BaseRepresentation
bin100110011111001000…
…011111010101000000
310221122222100112120010
4212133020133111000
51134113033232410
630552331344520
72662026345363
oct463710372500
9127588315503
1041324508480
1116586675952
1280135b2140
133b875bbaa8
14200046c0da
15111ce18c20
hex99f21f540

41324508480 has 448 divisors, whose sum is σ = 146710725120. Its totient is φ = 9801302016.

The previous prime is 41324508389. The next prime is 41324508493. The reversal of 41324508480 is 8480542314.

It is a super-2 number, since 2×413245084802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33406422 + ... + 33407658.

Almost surely, 241324508480 is an apocalyptic number.

41324508480 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 41324508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73355362560).

41324508480 is an abundant number, since it is smaller than the sum of its proper divisors (105386216640).

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

41324508480 is a wasteful number, since it uses less digits than its factorization.

41324508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 41324508480 in words is "forty-one billion, three hundred twenty-four million, five hundred eight thousand, four hundred eighty".