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1404400131340 = 225417173332909
BaseRepresentation
bin10100011011111100110…
…001010101110100001100
311222021000001121121221021
4110123330301111310030
5141002202413200330
62553101132443524
7203315226103213
oct24337461256414
94867001547837
101404400131340
114a166a297078
121a82229195a4
13a25853b489b
144bd8ab5a07a
15267e95c267a
hex146fcc55d0c

1404400131340 has 96 divisors (see below), whose sum is σ = 3067997627520. Its totient is φ = 539585894400.

The previous prime is 1404400131319. The next prime is 1404400131347. The reversal of 1404400131340 is 431310044041.

It is not an unprimeable number, because it can be changed into a prime (1404400131347) 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, 42658806 + ... + 42691714.

It is an arithmetic number, because the mean of its divisors is an integer number (31958308620).

Almost surely, 21404400131340 is an apocalyptic number.

1404400131340 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 1404400131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533998813760).

1404400131340 is an abundant number, since it is smaller than the sum of its proper divisors (1663597496180).

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

1404400131340 is a wasteful number, since it uses less digits than its factorization.

1404400131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33763 (or 33761 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1404400131340 its reverse (431310044041), we get a palindrome (1835710175381).

The spelling of 1404400131340 in words is "one trillion, four hundred four billion, four hundred million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 284 355 410 710 733 820 1420 1466 2911 2932 3665 5822 7330 11644 14555 14660 29110 30053 32909 52043 58220 60106 65818 104086 120212 131636 150265 164545 208172 260215 300530 329090 520430 601060 658180 1040860 1349269 2133763 2336539 2698538 4267526 4673078 5397076 6746345 8535052 9346156 10668815 11682695 13492690 21337630 23365390 24122297 26985380 42675260 46730780 48244594 95798099 96489188 120611485 191596198 241222970 383192396 478990495 482445940 957980990 989014177 1712683087 1915961980 1978028354 3425366174 3956056708 4945070885 6850732348 8563415435 9890141770 17126830870 19780283540 34253661740 70220006567 140440013134 280880026268 351100032835 702200065670 1404400131340