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41374012043100 = 22352111713919127779
BaseRepresentation
bin10010110100001001000110…
…10010100110111101011100
312102111022120000222210220010
421122010203102212331130
520410332434040334400
6223554543030523220
711500113405520422
oct1132044322467534
9172438500883803
1041374012043100
11122016901a8730
124782688b06510
131a11725086739
14a30727447112
154bb3765a6450
hex25a1234a6f5c

41374012043100 has 576 divisors, whose sum is σ = 140002239283200. Its totient is φ = 9322741248000.

The previous prime is 41374012043093. The next prime is 41374012043107. The reversal of 41374012043100 is 134021047314.

It is an interprime number because it is at equal distance from previous prime (41374012043093) and next prime (41374012043107).

It is a super-2 number, since 2×413740120431002 (a number of 28 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 not an unprimeable number, because it can be changed into a prime (41374012043107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1489385011 + ... + 1489412789.

It is an arithmetic number, because the mean of its divisors is an integer number (243059443200).

Almost surely, 241374012043100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41374012043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70001119641600).

41374012043100 is an abundant number, since it is smaller than the sum of its proper divisors (98628227240100).

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

41374012043100 is a wasteful number, since it uses less digits than its factorization.

41374012043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28154 (or 28147 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 41374012043100 in words is "forty-one trillion, three hundred seventy-four billion, twelve million, forty-three thousand, one hundred".