Search a number
-
+
41010213440 = 265771257861
BaseRepresentation
bin100110001100011001…
…100011001001000000
310220212001221200211002
4212030121203021000
51132442103312230
630501223111132
72651162030330
oct461431431100
9126761850732
1041010213440
1116435218389
127b462a24a8
133b374574b1
141db08170c0
151100534545
hex98c663240

41010213440 has 112 divisors (see below), whose sum is σ = 113178726144. Its totient is φ = 13862553600.

The previous prime is 41010213427. The next prime is 41010213467. The reversal of 41010213440 is 4431201014.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 30110 + ... + 287970.

Almost surely, 241010213440 is an apocalyptic number.

41010213440 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 41010213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56589363072).

41010213440 is an abundant number, since it is smaller than the sum of its proper divisors (72168512704).

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

41010213440 is a wasteful number, since it uses less digits than its factorization.

41010213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257956 (or 257946 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41010213440 its reverse (4431201014), we get a palindrome (45441414454).

The spelling of 41010213440 in words is "forty-one billion, ten million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 140 142 160 224 280 284 320 355 448 497 560 568 710 994 1120 1136 1420 1988 2240 2272 2485 2840 3976 4544 4970 5680 7952 9940 11360 15904 19880 22720 31808 39760 79520 159040 257861 515722 1031444 1289305 1805027 2062888 2578610 3610054 4125776 5157220 7220108 8251552 9025135 10314440 14440216 16503104 18050270 18308131 20628880 28880432 36100540 36616262 41257760 57760864 72201080 73232524 82515520 91540655 115521728 128156917 144402160 146465048 183081310 256313834 288804320 292930096 366162620 512627668 577608640 585860192 640784585 732325240 1025255336 1171720384 1281569170 1464650480 2050510672 2563138340 2929300960 4101021344 5126276680 5858601920 8202042688 10252553360 20505106720 41010213440