Search a number
-
+
14930308841472 = 2143411250293
BaseRepresentation
bin1101100101000011101111…
…0000010100000000000000
31221212022201220010201020000
43121100323300110000000
53424104233030411342
651430520022120000
73100451654132313
oct331207360240000
957768656121200
1014930308841472
1148369aa1216a2
121811716280000
13843bcaa7a37b
143988b8cd497a
151ad58920c44c
hexd943bc14000

14930308841472 has 150 divisors (see below), whose sum is σ = 44605244403258. Its totient is φ = 4976769171456.

The previous prime is 14930308841389. The next prime is 14930308841521. The reversal of 14930308841472 is 27414880303941.

14930308841472 is a `hidden beast` number, since 1 + 4 + 93 + 0 + 3 + 0 + 8 + 84 + 1 + 472 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9088922566656 + 5841386274816 = 3014784^2 + 2416896^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4298043 + ... + 6952250.

Almost surely, 214930308841472 is an apocalyptic number.

14930308841472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14930308841472 is an abundant number, since it is smaller than the sum of its proper divisors (29674935561786).

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

14930308841472 is an frugal number, since it uses more digits than its factorization.

14930308841472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11250333 (or 11250298 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 14930308841472 in words is "fourteen trillion, nine hundred thirty billion, three hundred eight million, eight hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24576 27648 36864 41472 49152 55296 73728 82944 110592 147456 165888 221184 331776 442368 663552 1327104 11250293 22500586 33750879 45001172 67501758 90002344 101252637 135003516 180004688 202505274 270007032 303757911 360009376 405010548 540014064 607515822 720018752 810021096 911273733 1080028128 1215031644 1440037504 1620042192 1822547466 2160056256 2430063288 2880075008 3240084384 3645094932 4320112512 4860126576 5760150016 6480168768 7290189864 8640225024 9720253152 11520300032 12960337536 14580379728 17280450048 19440506304 23040600064 25920675072 29160759456 34560900096 38881012608 46081200128 51841350144 58321518912 69121800192 77762025216 92162400256 103682700288 116643037824 138243600384 155524050432 184324800512 207365400576 233286075648 276487200768 311048100864 414730801152 466572151296 552974401536 622096201728 829461602304 933144302592 1244192403456 1658923204608 1866288605184 2488384806912 3732577210368 4976769613824 7465154420736 14930308841472