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41478912288 = 253211210912
BaseRepresentation
bin100110101000010101…
…011111100100100000
310222001201220001202200
4212220111133210200
51134422100143123
631015525013200
72665612636302
oct465025374440
9128051801680
1041478912288
1116655845800
128057254200
133bb05a02a8
142016b81972
15112b768143
hex9a855f920

41478912288 has 162 divisors, whose sum is σ = 129772686771. Its totient is φ = 12557846400.

The previous prime is 41478912283. The next prime is 41478912301. The reversal of 41478912288 is 88221987414.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41478912288 is a `hidden beast` number, since 4 + 1 + 478 + 91 + 2 + 2 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20739456144 + 20739456144 = 144012^2 + 144012^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=144012.

It is not an unprimeable number, because it can be changed into a prime (41478912283) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38018623 + ... + 38019713.

Almost surely, 241478912288 is an apocalyptic number.

41478912288 is a gapful number since it is divisible by the number (48) 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 41478912288

41478912288 is an abundant number, since it is smaller than the sum of its proper divisors (88293774483).

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

41478912288 is a wasteful number, since it uses less digits than its factorization.

41478912288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 1107 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 41478912288 in words is "forty-one billion, four hundred seventy-eight million, nine hundred twelve thousand, two hundred eighty-eight".