Search a number
-
+
408044998660 = 2251317373247501
BaseRepresentation
bin1011111000000010110…
…00001001000000000100
31110000020100122122110011
411330001120021000010
523141134004424120
6511241524240004
741323510155415
oct5740130110004
91400210578404
10408044998660
11148061844a22
12670b9540004
132c62b2a8290
1415a6c82180c
15a932d31c5a
hex5f01609004

408044998660 has 96 divisors (see below), whose sum is σ = 979715876832. Its totient is φ = 141419520000.

The previous prime is 408044998619. The next prime is 408044998661. The reversal of 408044998660 is 66899440804.

It can be written as a sum of positive squares in 16 ways, for example, as 105173084416 + 302871914244 = 324304^2 + 550338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 408044998595 and 408044998604.

It is not an unprimeable number, because it can be changed into a prime (408044998661) 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, 1524910 + ... + 1772410.

It is an arithmetic number, because the mean of its divisors is an integer number (10205373717).

Almost surely, 2408044998660 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 408044998660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489857938416).

408044998660 is an abundant number, since it is smaller than the sum of its proper divisors (571670878172).

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

408044998660 is a wasteful number, since it uses less digits than its factorization.

408044998660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247913 (or 247911 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 408044998660 in words is "four hundred eight billion, forty-four million, nine hundred ninety-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 373 442 746 884 1105 1492 1865 2210 3730 4420 4849 6341 7460 9698 12682 19396 24245 25364 31705 48490 63410 82433 96980 126820 164866 247501 329732 412165 495002 824330 990004 1237505 1648660 2475010 3217513 4207517 4950020 6435026 8415034 12870052 16087565 16830068 21037585 32175130 42075170 54697721 64350260 84150340 92317873 109395442 184635746 218790884 273488605 369271492 461589365 546977210 923178730 1093954420 1200132349 1569403841 1846357460 2400264698 3138807682 4800529396 6000661745 6277615364 7847019205 12001323490 15694038410 20402249933 24002646980 31388076820 40804499866 81608999732 102011249665 204022499330 408044998660