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41014134203130 = 2325111921371020329
BaseRepresentation
bin10010101001101010110001…
…11001100110001011111010
312101012220122112100100110100
421110311120321212023322
520333433421324000010
6223121344431500230
711432113323406044
oct1124653071461372
9171186575310410
1041014134203130
1112082aa6580a80
124724992687676
1319b6801bccaba
14a1b147b70a94
154b1d122752c0
hex254d58e662fa

41014134203130 has 192 divisors, whose sum is σ = 122511104726400. Its totient is φ = 9415097026560.

The previous prime is 41014134203093. The next prime is 41014134203131. The reversal of 41014134203130 is 3130243141014.

41014134203130 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 4 + 1 + 342 + 0 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41014134203094 and 41014134203103.

It is not an unprimeable number, because it can be changed into a prime (41014134203131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39686806 + ... + 40707134.

It is an arithmetic number, because the mean of its divisors is an integer number (638078670450).

Almost surely, 241014134203130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41014134203130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61255552363200).

41014134203130 is an abundant number, since it is smaller than the sum of its proper divisors (81496970523270).

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

41014134203130 is a wasteful number, since it uses less digits than its factorization.

41014134203130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022509 (or 1022506 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41014134203130 its reverse (3130243141014), we get a palindrome (44144377344144).

The spelling of 41014134203130 in words is "forty-one trillion, fourteen billion, one hundred thirty-four million, two hundred three thousand, one hundred thirty".