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1410030040 = 235313773421
BaseRepresentation
bin101010000001011…
…0101100111011000
310122021012221120211
41110002311213120
510341431430130
6351525500504
746641025516
oct12402654730
93567187524
101410030040
11663a1a491
12334271734
13196180c03
14d53a34b6
1583bc6a2a
hex540b59d8

1410030040 has 128 divisors (see below), whose sum is σ = 3417592320. Its totient is φ = 522547200.

The previous prime is 1410029981. The next prime is 1410030049. The reversal of 1410030040 is 400300141.

It is a self number, because there is not a number n which added to its sum of digits gives 1410030040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410030049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3349030 + ... + 3349450.

It is an arithmetic number, because the mean of its divisors is an integer number (26699940).

Almost surely, 21410030040 is an apocalyptic number.

1410030040 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 1410030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708796160).

1410030040 is an abundant number, since it is smaller than the sum of its proper divisors (2007562280).

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

1410030040 is a wasteful number, since it uses less digits than its factorization.

1410030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1410030040 is about 37550.3667092613. The cubic root of 1410030040 is about 1121.3541338110.

Adding to 1410030040 its reverse (400300141), we get a palindrome (1810330181).

The spelling of 1410030040 in words is "one billion, four hundred ten million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 73 74 124 146 148 155 185 248 292 296 310 365 370 421 584 620 730 740 842 1147 1240 1460 1480 1684 2105 2263 2294 2701 2920 3368 4210 4526 4588 5402 5735 8420 9052 9176 10804 11315 11470 13051 13505 15577 16840 18104 21608 22630 22940 26102 27010 30733 31154 45260 45880 52204 54020 61466 62308 65255 77885 83731 90520 104408 108040 122932 124616 130510 153665 155770 167462 245864 261020 307330 311540 334924 418655 482887 522040 614660 623080 669848 837310 952723 965774 1137121 1229320 1674620 1905446 1931548 2274242 2414435 3349240 3810892 3863096 4548484 4763615 4828870 5685605 7621784 9096968 9527230 9657740 11371210 19054460 19315480 22742420 35250751 38108920 45484840 70501502 141003004 176253755 282006008 352507510 705015020 1410030040