Search a number
-
+
41451303040 = 27573188827
BaseRepresentation
bin100110100110101100…
…001011000010000000
310221222210221100222221
4212212230023002000
51134343013144130
631013101140424
72665126156000
oct464654130200
9127883840887
1041451303040
11166411a8544
128049b5a714
133ba7954564
142013236000
15112911287a
hex9a6b0b080

41451303040 has 128 divisors (see below), whose sum is σ = 115562736000. Its totient is φ = 14211800064.

The previous prime is 41451302957. The next prime is 41451303073. The reversal of 41451303040 is 4030315414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 41451302996 and 41451303014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125107 + ... + 313933.

It is an arithmetic number, because the mean of its divisors is an integer number (902833875).

Almost surely, 241451303040 is an apocalyptic number.

41451303040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41451303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57781368000).

41451303040 is an abundant number, since it is smaller than the sum of its proper divisors (74111432960).

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

41451303040 is an equidigital number, since it uses as much as digits as its factorization.

41451303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188867 (or 188841 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 41451303040 its reverse (4030315414), we get a palindrome (45481618454).

The spelling of 41451303040 in words is "forty-one billion, four hundred fifty-one million, three hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 343 392 448 490 560 640 686 784 896 980 1120 1372 1568 1715 1960 2240 2744 3136 3430 3920 4480 5488 6272 6860 7840 10976 13720 15680 21952 27440 31360 43904 54880 109760 188827 219520 377654 755308 944135 1321789 1510616 1888270 2643578 3021232 3776540 5287156 6042464 6608945 7553080 9252523 10574312 12084928 13217890 15106160 18505046 21148624 24169856 26435780 30212320 37010092 42297248 46262615 52871560 60424640 64767661 74020184 84594496 92525230 105743120 120849280 129535322 148040368 169188992 185050460 211486240 259070644 296080736 323838305 370100920 422972480 518141288 592161472 647676610 740201840 845944960 1036282576 1184322944 1295353220 1480403680 2072565152 2590706440 2960807360 4145130304 5181412880 5921614720 8290260608 10362825760 20725651520 41451303040