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41145065280 = 26325111298771
BaseRepresentation
bin100110010100011011…
…111101111101000000
310221012110200212202200
4212110123331331000
51133231114042110
630522441313200
72654420166354
oct462433757500
9127173625680
1041145065280
11164a4353590
127b83495800
133b59381497
141dc46bb464
15110c2c06c0
hex9946fdf40

41145065280 has 168 divisors, whose sum is σ = 154387625184. Its totient is φ = 9974553600.

The previous prime is 41145065261. The next prime is 41145065281. The reversal of 41145065280 is 8256054114.

It is a happy number.

It is a super-2 number, since 2×411450652802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41145065281) 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 23 ways as a sum of consecutive naturals, for example, 617706 + ... + 681065.

Almost surely, 241145065280 is an apocalyptic number.

41145065280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41145065280 is an abundant number, since it is smaller than the sum of its proper divisors (113242559904).

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

41145065280 is a wasteful number, since it uses less digits than its factorization.

41145065280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298805 (or 1298792 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 41145065280 in words is "forty-one billion, one hundred forty-five million, sixty-five thousand, two hundred eighty".