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513143115240 = 233572273268757
BaseRepresentation
bin1110111011110011011…
…01101000110111101000
31211001111211022010220110
413131321231220313220
531401404114141430
61031422405454320
752034110340520
oct7357155506750
91731454263813
10513143115240
11188693a02508
128354a7113a0
133950a07aa42
141ab9c9a4680
15d5349047b0
hex7779b68de8

513143115240 has 128 divisors (see below), whose sum is σ = 1760128392960. Its totient is φ = 117237817344.

The previous prime is 513143115229. The next prime is 513143115257. The reversal of 513143115240 is 42511341315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 513143115198 and 513143115207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774942 + ... + 2043698.

It is an arithmetic number, because the mean of its divisors is an integer number (13751003070).

Almost surely, 2513143115240 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 513143115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880064196480).

513143115240 is an abundant number, since it is smaller than the sum of its proper divisors (1246985277720).

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

513143115240 is a wasteful number, since it uses less digits than its factorization.

513143115240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271051 (or 271047 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 513143115240 its reverse (42511341315), we get a palindrome (555654456555).

The spelling of 513143115240 in words is "five hundred thirteen billion, one hundred forty-three million, one hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2273 4546 6819 9092 11365 13638 15911 18184 22730 27276 31822 34095 45460 47733 54552 63644 68190 79555 90920 95466 127288 136380 159110 190932 238665 268757 272760 318220 381864 477330 537514 636440 806271 954660 1075028 1343785 1612542 1881299 1909320 2150056 2687570 3225084 3762598 4031355 5375140 5643897 6450168 7525196 8062710 9406495 10750280 11287794 15050392 16125420 18812990 22575588 28219485 32250840 37625980 45151176 56438970 75251960 112877940 225755880 610884661 1221769322 1832653983 2443538644 3054423305 3665307966 4276192627 4887077288 6108846610 7330615932 8552385254 9163269915 12217693220 12828577881 14661231864 17104770508 18326539830 21380963135 24435386440 25657155762 34209541016 36653079660 42761926270 51314311524 64142889405 73306159320 85523852540 102628623048 128285778810 171047705080 256571557620 513143115240