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41001432342200 = 235211231249648763
BaseRepresentation
bin10010101001010011000111…
…10011110101111010111000
312101011200212022112221220122
421110221203303311322320
520333231413134422300
6223111444210512412
711431153500360401
oct1124514363657270
9171150768487818
1041001432342200
1112078678719950
124722428895708
1319b5559526b65
14a1a6a0c529a8
154b181c0b5c85
hex254a63cf5eb8

41001432342200 has 192 divisors, whose sum is σ = 108603093600000. Its totient is φ = 14249927577600.

The previous prime is 41001432342179. The next prime is 41001432342251. The reversal of 41001432342200 is 224323410014.

It is a super-2 number, since 2×410014323422002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41001432342200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62875019 + ... + 63523781.

It is an arithmetic number, because the mean of its divisors is an integer number (565641112500).

Almost surely, 241001432342200 is an apocalyptic number.

41001432342200 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 41001432342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54301546800000).

41001432342200 is an abundant number, since it is smaller than the sum of its proper divisors (67601661257800).

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

41001432342200 is a wasteful number, since it uses less digits than its factorization.

41001432342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650062 (or 650053 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 41001432342200 its reverse (224323410014), we get a palindrome (41225755752214).

The spelling of 41001432342200 in words is "forty-one trillion, one billion, four hundred thirty-two million, three hundred forty-two thousand, two hundred".