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641143404 = 2233114113163
BaseRepresentation
bin100110001101110…
…001001001101100
31122200102110102000
4212031301021230
52303113042104
6143341532300
721613425516
oct4615611154
91580373360
10641143404
112a99aa590
1215a874090
13a2aa29c5
1461216bb6
153b448639
hex2637126c

641143404 has 96 divisors (see below), whose sum is σ = 1857703680. Its totient is φ = 189532800.

The previous prime is 641143357. The next prime is 641143409. The reversal of 641143404 is 404341146.

641143404 is a `hidden beast` number, since 641 + 14 + 3 + 4 + 0 + 4 = 666.

It is a super-2 number, since 2×6411434042 = 822129728985414432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (641143409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42127 + ... + 55289.

It is an arithmetic number, because the mean of its divisors is an integer number (19351080).

Almost surely, 2641143404 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 641143404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928851840).

641143404 is an abundant number, since it is smaller than the sum of its proper divisors (1216560276).

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

641143404 is a wasteful number, since it uses less digits than its factorization.

641143404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13228 (or 13220 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 641143404 is about 25320.8097026932. The cubic root of 641143404 is about 862.2867767819.

The spelling of 641143404 in words is "six hundred forty-one million, one hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4428 5412 8118 12177 13163 16236 24354 26326 39489 48708 52652 78978 118467 144793 157956 236934 289586 355401 434379 473868 539683 579172 710802 868758 1079366 1303137 1421604 1619049 1737516 2158732 2606274 3238098 3909411 4857147 5212548 5936513 6476196 7818822 9714294 11873026 14571441 15637644 17809539 19428588 23746052 29142882 35619078 53428617 58285764 71238156 106857234 160285851 213714468 320571702 641143404