Search a number
-
+
14147989920 = 2532579124367
BaseRepresentation
bin11010010110100100…
…10011000110100000
31100111222221100120200
431023102103012200
5212433341134140
610255520305200
71010412634011
oct151322230640
940458840520
1014147989920
116000198259
1228aa172200
131446185b8c
14982ddb008
1557c117030
hex34b4931a0

14147989920 has 144 divisors (see below), whose sum is σ = 48891548160. Its totient is φ = 3725010432.

The previous prime is 14147989907. The next prime is 14147989949. The reversal of 14147989920 is 2998974141.

14147989920 is a `hidden beast` number, since 1 + 4 + 1 + 479 + 89 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51577 + ... + 175943.

It is an arithmetic number, because the mean of its divisors is an integer number (339524640).

Almost surely, 214147989920 is an apocalyptic number.

14147989920 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 14147989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24445774080).

14147989920 is an abundant number, since it is smaller than the sum of its proper divisors (34743558240).

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

14147989920 is a wasteful number, since it uses less digits than its factorization.

14147989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124467 (or 124456 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 14147989920 in words is "fourteen billion, one hundred forty-seven million, nine hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 79 80 90 96 120 144 158 160 180 237 240 288 316 360 395 474 480 632 711 720 790 948 1185 1264 1422 1440 1580 1896 2370 2528 2844 3160 3555 3792 4740 5688 6320 7110 7584 9480 11376 12640 14220 18960 22752 28440 37920 56880 113760 124367 248734 373101 497468 621835 746202 994936 1119303 1243670 1492404 1865505 1989872 2238606 2487340 2984808 3731010 3979744 4477212 4974680 5596515 5969616 7462020 8954424 9824993 9949360 11193030 11939232 14924040 17908848 19649986 19898720 22386060 29474979 29848080 35817696 39299972 44772120 49124965 58949958 59696160 78599944 88424937 89544240 98249930 117899916 147374895 157199888 176849874 179088480 196499860 235799832 294749790 314399776 353699748 392999720 442124685 471599664 589499580 707399496 785999440 884249370 943199328 1178999160 1414798992 1571998880 1768498740 2357998320 2829597984 3536997480 4715996640 7073994960 14147989920