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1410314040 = 233259740387
BaseRepresentation
bin101010000001111…
…1010111100111000
310122021202101011100
41110003322330320
510342020022130
6351535531400
746643320512
oct12403727470
93567671140
101410314040
116640a38a3
12334389b60
13196250265
14d5438bb2
1583c30c60
hex540faf38

1410314040 has 96 divisors (see below), whose sum is σ = 4630888080. Its totient is φ = 372197376.

The previous prime is 1410314039. The next prime is 1410314053. The reversal of 1410314040 is 404130141.

It is a super-3 number, since 3×14103140403 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14727 + ... + 55113.

Almost surely, 21410314040 is an apocalyptic number.

1410314040 is a gapful number since it is divisible by the number (10) 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 1410314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315444040).

1410314040 is an abundant number, since it is smaller than the sum of its proper divisors (3220574040).

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

1410314040 is a wasteful number, since it uses less digits than its factorization.

1410314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40501 (or 40494 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1410314040 is about 37554.1481064343. The cubic root of 1410314040 is about 1121.4294142864.

Adding to 1410314040 its reverse (404130141), we get a palindrome (1814444181).

The spelling of 1410314040 in words is "one billion, four hundred ten million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3492 3880 4365 5820 6984 8730 11640 17460 34920 40387 80774 121161 161548 201935 242322 323096 363483 403870 484644 605805 726966 807740 969288 1211610 1453932 1615480 1817415 2423220 2907864 3634830 3917539 4846440 7269660 7835078 11752617 14539320 15670156 19587695 23505234 31340312 35257851 39175390 47010468 58763085 70515702 78350780 94020936 117526170 141031404 156701560 176289255 235052340 282062808 352578510 470104680 705157020 1410314040