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1342004310430 = 25735922972887
BaseRepresentation
bin10011100001110101101…
…100001011000110011110
311202021221120212111202021
4103201311230023012132
5133441411100413210
62504301441450354
7165646055266000
oct23416554130636
94667846774667
101342004310430
114781604a1333
1219810a6409ba
13997204a2cb4
1448d4c014370
1524d96871bda
hex13875b0b19e

1342004310430 has 128 divisors (see below), whose sum is σ = 2867021568000. Its totient is φ = 451963669248.

The previous prime is 1342004310349. The next prime is 1342004310457. The reversal of 1342004310430 is 340134002431.

It is a junction number, because it is equal to n+sod(n) for n = 1342004310395 and 1342004310404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464842447 + ... + 464845333.

It is an arithmetic number, because the mean of its divisors is an integer number (22398606000).

Almost surely, 21342004310430 is an apocalyptic number.

1342004310430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1342004310430 is an abundant number, since it is smaller than the sum of its proper divisors (1525017257570).

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

1342004310430 is a wasteful number, since it uses less digits than its factorization.

1342004310430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1342004310430 its reverse (340134002431), we get a palindrome (1682138312861).

The spelling of 1342004310430 in words is "one trillion, three hundred forty-two billion, four million, three hundred ten thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 59 70 98 118 245 295 343 413 490 590 686 826 1715 2065 2297 2887 2891 3430 4130 4594 5774 5782 11485 14435 14455 16079 20209 20237 22970 28870 28910 32158 40418 40474 80395 101045 101185 112553 135523 141463 160790 170333 202090 202370 225106 271046 282926 340666 562765 677615 707315 787871 851665 948661 990241 1125530 1192331 1355230 1414630 1575742 1703330 1897322 1980482 2384662 3939355 4743305 4951205 5961655 6631439 6640627 7878710 8346317 9486610 9902410 11923310 13262878 13281254 16692634 33157195 33203135 41731585 46420073 46484389 58424219 66314390 66406270 83463170 92840146 92968778 116848438 232100365 232421945 292121095 324940511 391254901 464200730 464843890 584242190 649881022 782509802 1624702555 1956274505 2274583577 2738784307 3249405110 3912549010 4549167154 5477568614 11372917885 13693921535 19171490149 22745835770 27387843070 38342980298 95857450745 134200431043 191714901490 268400862086 671002155215 1342004310430