Search a number
-
+
1411023760752 = 24343231750153
BaseRepresentation
bin10100100010000111100…
…100011110110101110000
311222220002200010212100010
4110202013210132311300
5141104234040321002
63000114304054520
7203641325034144
oct24420744366560
94886080125303
101411023760752
114a4459144971
121a9571004440
13a309c730628
144c418703224
1526a85d4446c
hex1488791ed70

1411023760752 has 120 divisors (see below), whose sum is σ = 3743734095504. Its totient is φ = 457944732672.

The previous prime is 1411023760673. The next prime is 1411023760793. The reversal of 1411023760752 is 2570673201141.

It is a self number, because there is not a number n which added to its sum of digits gives 1411023760752.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28109308 + ... + 28159460.

Almost surely, 21411023760752 is an apocalyptic number.

1411023760752 is a gapful number since it is divisible by the number (12) 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 1411023760752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871867047752).

1411023760752 is an abundant number, since it is smaller than the sum of its proper divisors (2332710334752).

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

1411023760752 is a wasteful number, since it uses less digits than its factorization.

1411023760752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50567 (or 50518 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

Adding to 1411023760752 its reverse (2570673201141), we get a palindrome (3981696961893).

The spelling of 1411023760752 in words is "one trillion, four hundred eleven billion, twenty-three million, seven hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 317 344 516 634 688 951 1032 1268 1849 1902 2064 2536 3698 3804 5072 5547 7396 7608 11094 13631 14792 15216 22188 27262 29584 40893 44376 50153 54524 81786 88752 100306 109048 150459 163572 200612 218096 300918 327144 401224 586133 601836 654288 802448 1172266 1203672 1758399 2156579 2344532 2407344 3516798 4313158 4689064 6469737 7033596 8626316 9378128 12939474 14067192 15898501 17252632 25878948 28134384 31797002 34505264 47695503 51757896 63594004 92732897 95391006 103515792 127188008 185465794 190782012 254376016 278198691 370931588 381564024 556397382 683635543 741863176 763128048 1112794764 1367271086 1483726352 2050906629 2225589528 2734542172 4101813258 4451179056 5469084344 8203626516 10938168688 16407253032 29396328349 32814506064 58792656698 88188985047 117585313396 176377970094 235170626792 352755940188 470341253584 705511880376 1411023760752