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41144023332 = 22332579191613
BaseRepresentation
bin100110010100010111…
…111111100100100100
310221012101201221111000
4212110113333210210
51133230332221312
630522403113300
72654405266536
oct462427774444
9127171657430
1041144023332
11164a3801775
127b83072830
133b590a8149
141dc44c9856
15110c166adc
hex9945ff924

41144023332 has 96 divisors (see below), whose sum is σ = 107267731200. Its totient is φ = 13637984256.

The previous prime is 41144023321. The next prime is 41144023387. The reversal of 41144023332 is 23332044114.

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 = 41144023296 and 41144023305.

It is an unprimeable number.

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, 25506958 + ... + 25508570.

It is an arithmetic number, because the mean of its divisors is an integer number (1117372200).

Almost surely, 241144023332 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 41144023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53633865600).

41144023332 is an abundant number, since it is smaller than the sum of its proper divisors (66123707868).

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

41144023332 is a wasteful number, since it uses less digits than its factorization.

41144023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41144023332 its reverse (23332044114), we get a palindrome (64476067446).

The spelling of 41144023332 in words is "forty-one billion, one hundred forty-four million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 919 1028 1542 1613 1838 2313 2757 3084 3226 3676 4626 4839 5514 6452 6939 8271 9252 9678 11028 13878 14517 16542 19356 24813 27756 29034 33084 43551 49626 58068 87102 99252 174204 236183 414541 472366 708549 829082 944732 1243623 1417098 1482347 1658164 2125647 2487246 2834196 2964694 3730869 4251294 4447041 4974492 5929388 6376941 7461738 8502588 8894082 11192607 12753882 13341123 14923476 17788164 22385214 25507764 26682246 40023369 44770428 53364492 80046738 160093476 380963179 761926358 1142889537 1523852716 2285779074 3428668611 4571558148 6857337222 10286005833 13714674444 20572011666 41144023332