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41001244232 = 231317293721613
BaseRepresentation
bin100110001011110111…
…010101011001001000
310220211110002000101012
4212023313111121020
51132432304303412
630500302543052
72651022553124
oct461367253110
9126743060335
1041001244232
1116430151713
127b43297a88
133b35636b80
141dad560584
1510ee861c22
hex98bdd5648

41001244232 has 128 divisors (see below), whose sum is σ = 93139048800. Its totient is φ = 16730800128.

The previous prime is 41001244169. The next prime is 41001244267. The reversal of 41001244232 is 23244210014.

41001244232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 27666999556 + 13334244676 = 166334^2 + 115474^2 .

It is a super-2 number, since 2×410012442322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41001244198 and 41001244207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886258 + ... + 1907870.

Almost surely, 241001244232 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 41001244232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569524400).

41001244232 is an abundant number, since it is smaller than the sum of its proper divisors (52137804568).

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

41001244232 is a wasteful number, since it uses less digits than its factorization.

41001244232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21715 (or 21711 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 41001244232 its reverse (23244210014), we get a palindrome (64245454246).

The spelling of 41001244232 in words is "forty-one billion, one million, two hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 29 34 37 52 58 68 74 104 116 136 148 221 232 296 377 442 481 493 629 754 884 962 986 1073 1258 1508 1768 1924 1972 2146 2516 3016 3848 3944 4292 5032 6409 8177 8584 12818 13949 16354 18241 21613 25636 27898 32708 36482 43226 51272 55796 65416 72964 86452 111592 145928 172904 237133 280969 367421 474266 561938 626777 734842 799681 948532 1123876 1253554 1469684 1599362 1897064 2247752 2507108 2939368 3198724 4776473 5014216 6397448 8148101 9552946 10395853 10655209 13594577 16296202 19105892 20791706 21310418 23190749 27189154 32592404 38211784 41583412 42620836 46381498 54378308 65184808 83166824 85241672 92762996 108756616 138517717 176729501 185525992 277035434 301479737 353459002 394242733 554070868 602959474 706918004 788485466 1108141736 1205918948 1413836008 1576970932 2411837896 3153941864 5125155529 10250311058 20500622116 41001244232