Search a number
-
+
1310430303540 = 2232547439352841
BaseRepresentation
bin10011000100011011101…
…110111001010100110100
311122021110010210202211200
4103010123232321110310
5132432230124203130
62442000421132500
7163450453536531
oct23043356712464
94567403722750
101310430303540
1146582881a666
12191b7855a130
139675aca6397
14475d491dd88
1524149980760
hex1311bbb9534

1310430303540 has 144 divisors (see below), whose sum is σ = 4068804579840. Its totient is φ = 341232975360.

The previous prime is 1310430303521. The next prime is 1310430303541. The reversal of 1310430303540 is 453030340131.

1310430303540 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 303 + 0 + 354 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310430303541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3537520 + ... + 3890360.

It is an arithmetic number, because the mean of its divisors is an integer number (28255587360).

Almost surely, 21310430303540 is an apocalyptic number.

1310430303540 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 1310430303540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034402289920).

1310430303540 is an abundant number, since it is smaller than the sum of its proper divisors (2758374276300).

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

1310430303540 is a wasteful number, since it uses less digits than its factorization.

1310430303540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353342 (or 353337 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1310430303540 its reverse (453030340131), we get a palindrome (1763460643671).

The spelling of 1310430303540 in words is "one trillion, three hundred ten billion, four hundred thirty million, three hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 439 470 564 705 846 878 940 1317 1410 1692 1756 2115 2195 2634 2820 3951 4230 4390 5268 6585 7902 8460 8780 13170 15804 19755 20633 26340 39510 41266 61899 79020 82532 103165 123798 185697 206330 247596 309495 352841 371394 412660 618990 705682 742788 928485 1058523 1237980 1411364 1764205 1856970 2117046 3175569 3528410 3713940 4234092 5292615 6351138 7056820 10585230 12702276 15877845 16583527 21170460 31755690 33167054 49750581 63511380 66334108 82917635 99501162 149251743 154897199 165835270 199002324 248752905 298503486 309794398 331670540 464691597 497505810 597006972 619588796 746258715 774485995 929383194 995011620 1394074791 1492517430 1548971990 1858766388 2323457985 2788149582 2985034860 3097943980 4646915970 5576299164 6970373955 7280168353 9293831940 13940747910 14560336706 21840505059 27881495820 29120673412 36400841765 43681010118 65521515177 72801683530 87362020236 109202525295 131043030354 145603367060 218405050590 262086060708 327607575885 436810101180 655215151770 1310430303540