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41450430132 = 223317123718251
BaseRepresentation
bin100110100110101000…
…110101111010110100
310221222202022000121000
4212212220311322310
51134342302231012
631013030323300
72665115562036
oct464650657264
9127882260530
1041450430132
1116640761731
1280497b9530
133ba770a147
142013089c56
151128eddddc
hex9a6a35eb4

41450430132 has 96 divisors (see below), whose sum is σ = 113883719040. Its totient is φ = 12992832000.

The previous prime is 41450430101. The next prime is 41450430137. The reversal of 41450430132 is 23103405414.

It is a happy number.

41450430132 is a `hidden beast` number, since 41 + 450 + 43 + 0 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41450430096 and 41450430105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41450430137) 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 31 ways as a sum of consecutive naturals, for example, 2262007 + ... + 2280257.

It is an arithmetic number, because the mean of its divisors is an integer number (1186288740).

Almost surely, 241450430132 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 41450430132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56941859520).

41450430132 is an abundant number, since it is smaller than the sum of its proper divisors (72433288908).

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

41450430132 is a wasteful number, since it uses less digits than its factorization.

41450430132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19518 (or 19510 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 41450430132 its reverse (23103405414), we get a palindrome (64553835546).

The spelling of 41450430132 in words is "forty-one billion, four hundred fifty million, four hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1237 1836 2474 3711 4948 7422 11133 14844 18251 21029 22266 33399 36502 42058 44532 54753 63087 66798 73004 84116 109506 126174 133596 164259 189261 219012 252348 310267 328518 378522 492777 567783 620534 657036 757044 930801 985554 1135566 1241068 1861602 1971108 2271132 2792403 3723204 5584806 8377209 11169612 16754418 22576487 33508836 45152974 67729461 90305948 135458922 203188383 270917844 383800279 406376766 609565149 767600558 812753532 1151400837 1219130298 1535201116 2302801674 2438260596 3454202511 4605603348 6908405022 10362607533 13816810044 20725215066 41450430132