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41438317448 = 23112323387869
BaseRepresentation
bin100110100101111010…
…101000101110001000
310221221220111122010002
4212211322220232020
51134331202124243
631011514542132
72664610613063
oct464572505610
9127856448102
1041438317448
1116634939250
128045737948
133ba5058a88
1420116158da
151127de9eb8
hex9a5ea8b88

41438317448 has 64 divisors (see below), whose sum is σ = 88826025600. Its totient is φ = 17939130880.

The previous prime is 41438317441. The next prime is 41438317457. The reversal of 41438317448 is 84471383414.

It is not an unprimeable number, because it can be changed into a prime (41438317441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427658 + ... + 515526.

It is an arithmetic number, because the mean of its divisors is an integer number (1387906650).

Almost surely, 241438317448 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 41438317448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44413012800).

41438317448 is an abundant number, since it is smaller than the sum of its proper divisors (47387708152).

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

41438317448 is a wasteful number, since it uses less digits than its factorization.

41438317448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88142 (or 88138 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 47.

The spelling of 41438317448 in words is "forty-one billion, four hundred thirty-eight million, three hundred seventeen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 233 253 466 506 932 1012 1864 2024 2563 5126 5359 10252 10718 20504 21436 42872 58949 87869 117898 175738 235796 351476 471592 702952 966559 1933118 2020987 3866236 4041974 7732472 8083948 16167896 20473477 22230857 40946954 44461714 81893908 88923428 163787816 177846856 225208247 450416494 470889971 900832988 941779942 1801665976 1883559884 3767119768 5179789681 10359579362 20719158724 41438317448