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14106513520 = 24511196113831
BaseRepresentation
bin11010010001101000…
…00101000001110000
31100102002220010122201
431020310011001300
5212342231413040
610251435312544
71006400246401
oct151064050160
940362803581
1014106513520
115a89839440
1228982ab754
13143a6c3328
1497b6c19a8
15578672a9a
hex348d05070

14106513520 has 160 divisors (see below), whose sum is σ = 38282549760. Its totient is φ = 4779648000.

The previous prime is 14106513497. The next prime is 14106513527. The reversal of 14106513520 is 2531560141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14106513527) 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, 1013005 + ... + 1026835.

It is an arithmetic number, because the mean of its divisors is an integer number (239265936).

Almost surely, 214106513520 is an apocalyptic number.

14106513520 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 14106513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141274880).

14106513520 is an abundant number, since it is smaller than the sum of its proper divisors (24176036240).

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

14106513520 is a wasteful number, since it uses less digits than its factorization.

14106513520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 14106513520 in words is "fourteen billion, one hundred six million, five hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 61 76 80 88 95 110 122 152 176 190 209 220 244 304 305 380 418 440 488 610 671 760 836 880 976 1045 1159 1220 1342 1520 1672 2090 2318 2440 2684 3344 3355 4180 4636 4880 5368 5795 6710 8360 9272 10736 11590 12749 13420 13831 16720 18544 23180 25498 26840 27662 46360 50996 53680 55324 63745 69155 92720 101992 110648 127490 138310 152141 203984 221296 254980 262789 276620 304282 509960 525578 553240 608564 760705 843691 1019920 1051156 1106480 1217128 1313945 1521410 1687382 2102312 2434256 2627890 2890679 3042820 3374764 4204624 4218455 5255780 5781358 6085640 6749528 8436910 9280601 10511560 11562716 12171280 13499056 14453395 16030129 16873820 18561202 21023120 23125432 28906790 32060258 33747640 37122404 46250864 46403005 57813580 64120516 67495280 74244808 80150645 92806010 115627160 128241032 148489616 160301290 176331419 185612020 231254320 256482064 320602580 352662838 371224040 641205160 705325676 742448080 881657095 1282410320 1410651352 1763314190 2821302704 3526628380 7053256760 14106513520