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41140211220 = 22325228556729
BaseRepresentation
bin100110010100001001…
…011100111000010100
310221012010120021020200
4212110021130320110
51133223343224340
630522145300500
72654331011523
oct462411347024
9127163507220
1041140211220
11164a1638669
127b81934730
133b58371c64
141dc3bb64ba
15110bb62330
hex99425ce14

41140211220 has 36 divisors (see below), whose sum is σ = 124791974580. Its totient is φ = 10970722944.

The previous prime is 41140211213. The next prime is 41140211227. The reversal of 41140211220 is 2211204114.

41140211220 is a `hidden beast` number, since 41 + 1 + 402 + 1 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (41140211213) and next prime (41140211227).

It can be written as a sum of positive squares in 2 ways, for example, as 23554268676 + 17585942544 = 153474^2 + 132612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41140211193 and 41140211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41140211227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114278185 + ... + 114278544.

Almost surely, 241140211220 is an apocalyptic number.

It is an amenable number.

41140211220 is an abundant number, since it is smaller than the sum of its proper divisors (83651763360).

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

41140211220 is a wasteful number, since it uses less digits than its factorization.

41140211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228556744 (or 228556739 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 41140211220 its reverse (2211204114), we get a palindrome (43351415334).

The spelling of 41140211220 in words is "forty-one billion, one hundred forty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 228556729 457113458 685670187 914226916 1142783645 1371340374 2057010561 2285567290 2742680748 3428350935 4114021122 4571134580 6856701870 8228042244 10285052805 13713403740 20570105610 41140211220