Search a number
-
+
53404244000 = 255313797453
BaseRepresentation
bin110001101111001001…
…000001100000100000
312002211211111200110222
4301233021001200200
51333332441302000
640311130142212
73600256404242
oct615711014040
9162754450428
1053404244000
1120715337a48
12a424b81968
1350611204a3
1428288c4092
1515c8689a85
hexc6f241820

53404244000 has 96 divisors (see below), whose sum is σ = 132173351856. Its totient is φ = 21205555200.

The previous prime is 53404243999. The next prime is 53404244011. The reversal of 53404244000 is 44240435.

It can be written as a sum of positive squares in 8 ways, for example, as 5093962384 + 48310281616 = 71372^2 + 219796^2 .

It is a super-3 number, since 3×534042440003 (a number of 33 digits) contains 333 as substring.

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, 499274 + ... + 596726.

Almost surely, 253404244000 is an apocalyptic number.

53404244000 is a gapful number since it is divisible by the number (50) 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 53404244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66086675928).

53404244000 is an abundant number, since it is smaller than the sum of its proper divisors (78769107856).

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

53404244000 is a wasteful number, since it uses less digits than its factorization.

53404244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97615 (or 97597 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 53404244000 its reverse (44240435), we get a palindrome (53448484435).

The spelling of 53404244000 in words is "fifty-three billion, four hundred four million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 137 160 200 250 274 400 500 548 685 800 1000 1096 1370 2000 2192 2740 3425 4000 4384 5480 6850 10960 13700 17125 21920 27400 34250 54800 68500 97453 109600 137000 194906 274000 389812 487265 548000 779624 974530 1559248 1949060 2436325 3118496 3898120 4872650 7796240 9745300 12181625 13351061 15592480 19490600 24363250 26702122 38981200 48726500 53404244 66755305 77962400 97453000 106808488 133510610 194906000 213616976 267021220 333776525 389812000 427233952 534042440 667553050 1068084880 1335106100 1668882625 2136169760 2670212200 3337765250 5340424400 6675530500 10680848800 13351061000 26702122000 53404244000