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490359023040 = 26351069477821
BaseRepresentation
bin1110010001010111010…
…11001110010111000000
31201212200222000100010210
413020223223032113000
531013223402214130
61013133503354120
750266360631655
oct7105353162700
91655628010123
10490359023040
11179a61980847
127b0502b2940
1337318955793
1419a3aa39c2c
15cb4e5425b0
hex722bace5c0

490359023040 has 112 divisors (see below), whose sum is σ = 1558349557920. Its totient is φ = 130639810560.

The previous prime is 490359022991. The next prime is 490359023047. The reversal of 490359023040 is 40320953094.

It is a self number, because there is not a number n which added to its sum of digits gives 490359023040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490359023047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787330 + ... + 1265150.

Almost surely, 2490359023040 is an apocalyptic number.

490359023040 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 490359023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779174778960).

490359023040 is an abundant number, since it is smaller than the sum of its proper divisors (1067990534880).

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

490359023040 is a wasteful number, since it uses less digits than its factorization.

490359023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478910 (or 478900 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 490359023040 in words is "four hundred ninety billion, three hundred fifty-nine million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1069 2138 3207 4276 5345 6414 8552 10690 12828 16035 17104 21380 25656 32070 34208 42760 51312 64140 68416 85520 102624 128280 171040 205248 256560 342080 477821 513120 955642 1026240 1433463 1911284 2389105 2866926 3822568 4778210 5733852 7167315 7645136 9556420 11467704 14334630 15290272 19112840 22935408 28669260 30580544 38225680 45870816 57338520 76451360 91741632 114677040 152902720 229354080 458708160 510790649 1021581298 1532371947 2043162596 2553953245 3064743894 4086325192 5107906490 6129487788 7661859735 8172650384 10215812980 12258975576 15323719470 16345300768 20431625960 24517951152 30647438940 32690601536 40863251920 49035902304 61294877880 81726503840 98071804608 122589755760 163453007680 245179511520 490359023040