Search a number
-
+
14162762711680 = 275113164895357
BaseRepresentation
bin1100111000011000011001…
…1100001100001010000000
31212010221120021200101201021
43032012012130030022000
53324020314223233210
650042141112515224
72661140314516552
oct316060634141200
955127507611637
1014162762711680
114570437367a40
121708a086abb14
137b97096935bb
1436d6a4c5b4d2
151986151abbda
hexce18670c280

14162762711680 has 128 divisors (see below), whose sum is σ = 38127320732160. Its totient is φ = 4983963340800.

The previous prime is 14162762711633. The next prime is 14162762711689. The reversal of 14162762711680 is 8611726726141.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (14162762711689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32229439 + ... + 32665918.

It is an arithmetic number, because the mean of its divisors is an integer number (297869693220).

Almost surely, 214162762711680 is an apocalyptic number.

14162762711680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14162762711680 is an abundant number, since it is smaller than the sum of its proper divisors (23964558020480).

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

14162762711680 is a wasteful number, since it uses less digits than its factorization.

14162762711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64895418 (or 64895406 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 14162762711680 in words is "fourteen trillion, one hundred sixty-two billion, seven hundred sixty-two million, seven hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 310 320 341 352 440 496 620 640 682 704 880 992 1240 1364 1408 1705 1760 1984 2480 2728 3410 3520 3968 4960 5456 6820 7040 9920 10912 13640 19840 21824 27280 43648 54560 109120 218240 64895357 129790714 259581428 324476785 519162856 648953570 713848927 1038325712 1297907140 1427697854 2011756067 2076651424 2595814280 2855395708 3569244635 4023512134 4153302848 5191628560 5710791416 7138489270 8047024268 8306605696 10058780335 10383257120 11421582832 14276978540 16094048536 20117560670 20766514240 22129316737 22843165664 28553957080 32188097072 40235121340 41533028480 44258633474 45686331328 57107914160 64376194144 80470242680 88517266948 91372662656 110646583685 114215828320 128752388288 160940485360 177034533896 221293167370 228431656640 257504776576 321880970720 354069067792 442586334740 456863313280 643761941440 708138135584 885172669480 1287523882880 1416276271168 1770345338960 2832552542336 3540690677920 7081381355840 14162762711680