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1434569085430 = 2513217210926947
BaseRepresentation
bin10100111000000010111…
…110110001000111110110
312002010212120211021202021
4110320002332301013312
5142000444141213210
63015010522103354
7205433650013455
oct24700276610766
95063776737667
101434569085430
11503440938888
121b204234ab5a
13a5382783c00
144d60d7c4b9c
15274b2e71bda
hex14e02fb11f6

1434569085430 has 144 divisors (see below), whose sum is σ = 2997651864240. Its totient is φ = 493936994304.

The previous prime is 1434569085409. The next prime is 1434569085431. The reversal of 1434569085430 is 345809654341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434569085431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53223217 + ... + 53250163.

It is an arithmetic number, because the mean of its divisors is an integer number (20817026835).

Almost surely, 21434569085430 is an apocalyptic number.

1434569085430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1434569085430 is an abundant number, since it is smaller than the sum of its proper divisors (1563082778810).

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

1434569085430 is a wasteful number, since it uses less digits than its factorization.

1434569085430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27123 (or 27093 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 1434569085430 in words is "one trillion, four hundred thirty-four billion, five hundred sixty-nine million, eighty-five thousand, four hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 109 130 169 170 218 221 289 338 442 545 578 845 1090 1105 1417 1445 1690 1853 2210 2834 2873 2890 3706 3757 5746 7085 7514 9265 14170 14365 18421 18530 18785 24089 26947 28730 31501 36842 37570 48178 48841 53894 63002 92105 97682 120445 134735 157505 184210 240890 244205 269470 313157 315010 350311 409513 458099 488410 626314 700622 819026 916198 1565785 1751555 2047565 2290495 2937223 3131570 3503110 4095130 4554043 4580990 5323669 5874446 5955287 7787683 9108086 10647338 11910574 14686115 15575366 22770215 26618345 29372230 29776435 38183899 38938415 45540430 49932791 53236690 59552870 76367798 77418731 77876830 99865582 101239879 154837462 190919495 202479758 249663955 381838990 387093655 496390687 499327910 506199395 649126283 774187310 848857447 992781374 1012398790 1298252566 1316118427 1697714894 2481953435 2632236854 3245631415 4244287235 4963906870 6491262830 6580592135 8438641679 8488574470 11035146811 13161184270 16877283358 22070293622 42193208395 55175734055 84386416790 110351468110 143456908543 286913817086 717284542715 1434569085430