Search a number
-
+
1345434465160 = 2354110715434969
BaseRepresentation
bin10011100101000010001…
…001001011001110001000
311202121210122022102110001
4103211002021023032020
5134020422210341120
62510030053532344
7166130056155052
oct23450211131610
94677718272401
101345434465160
11479660753355
121989073440b4
1399b49026356
14491957d08d2
1524ee7a83e0a
hex1394224b388

1345434465160 has 128 divisors (see below), whose sum is σ = 3132703123200. Its totient is φ = 519698903040.

The previous prime is 1345434465131. The next prime is 1345434465197. The reversal of 1345434465160 is 615644345431.

It is a self number, because there is not a number n which added to its sum of digits gives 1345434465160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270763156 + ... + 270768124.

It is an arithmetic number, because the mean of its divisors is an integer number (24474243150).

Almost surely, 21345434465160 is an apocalyptic number.

1345434465160 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 1345434465160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566351561600).

1345434465160 is an abundant number, since it is smaller than the sum of its proper divisors (1787268658040).

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

1345434465160 is a wasteful number, since it uses less digits than its factorization.

1345434465160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 1345434465160 in words is "one trillion, three hundred forty-five billion, four hundred thirty-four million, four hundred sixty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 107 164 205 214 328 410 428 535 820 856 1070 1543 1640 2140 3086 4280 4387 4969 6172 7715 8774 9938 12344 15430 17548 19876 21935 24845 30860 35096 39752 43870 49690 61720 63263 87740 99380 126526 165101 175480 198760 203729 253052 316315 330202 407458 506104 531683 632630 660404 814916 825505 1018645 1063366 1265260 1320808 1629832 1651010 2037290 2126732 2530520 2658415 3302020 4074580 4253464 5316830 6604040 6769141 7667167 8149160 10633660 13538282 15334334 21267320 21799003 27076564 30668668 33845705 38335835 43598006 54153128 61337336 67691410 76671670 87196012 108995015 135382820 153343340 174392024 217990030 270765640 306686680 314353847 435980060 628707694 820386869 871960120 1257415388 1571769235 1640773738 2514830776 3143538470 3281547476 4101934345 6287076940 6563094952 8203868690 12574153880 16407737380 32815474760 33635861629 67271723258 134543446516 168179308145 269086893032 336358616290 672717232580 1345434465160