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41228143320 = 233572131928387
BaseRepresentation
bin100110011001011000…
…111000101011011000
310221102021000200102010
4212121120320223120
51133413401041240
630535010105520
72656446302400
oct463130705330
9127367020363
1041228143320
1116537237321
127ba727b2a0
133b7064b8a0
141dd1745800
151114731280
hex999638ad8

41228143320 has 384 divisors, whose sum is σ = 163106092800. Its totient is φ = 8240569344.

The previous prime is 41228143273. The next prime is 41228143343. The reversal of 41228143320 is 2334182214.

It is a super-2 number, since 2×412281433202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 1438167 + ... + 1466553.

It is an arithmetic number, because the mean of its divisors is an integer number (424755450).

Almost surely, 241228143320 is an apocalyptic number.

41228143320 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 41228143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81553046400).

41228143320 is an abundant number, since it is smaller than the sum of its proper divisors (121877949480).

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

41228143320 is a wasteful number, since it uses less digits than its factorization.

41228143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28447 (or 28436 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 41228143320 in words is "forty-one billion, two hundred twenty-eight million, one hundred forty-three thousand, three hundred twenty".