Search a number
-
+
14434172727216 = 2431122485222577
BaseRepresentation
bin1101001000001011011110…
…1111001110111110110000
31220002220010022111201202220
43102002313233032332300
53342442141204232331
650410544543241040
73016556153551644
oct322026757167660
956086108451686
1014434172727216
11466555322a800
1217515332a9180
138091a12a4528
1437c890d12c24
151a06ec914296
hexd20b7bcefb0

14434172727216 has 60 divisors (see below), whose sum is σ = 40986290756376. Its totient is φ = 4373991733760.

The previous prime is 14434172727211. The next prime is 14434172727241. The reversal of 14434172727216 is 61272727143441.

It is a super-2 number, since 2×144341727272162 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14434172727211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1242605481 + ... + 1242617096.

Almost surely, 214434172727216 is an apocalyptic number.

14434172727216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14434172727216 is an abundant number, since it is smaller than the sum of its proper divisors (26552118029160).

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

14434172727216 is a wasteful number, since it uses less digits than its factorization.

14434172727216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485222610 (or 2485222593 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 51.

The spelling of 14434172727216 in words is "fourteen trillion, four hundred thirty-four billion, one hundred seventy-two million, seven hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 2485222577 4970445154 7455667731 9940890308 14911335462 19881780616 27337448347 29822670924 39763561232 54674896694 59645341848 82012345041 109349793388 119290683696 164024690082 218699586776 300711931817 328049380164 437399173552 601423863634 656098760328 902135795451 1202847727268 1312197520656 1804271590902 2405695454536 3608543181804 4811390909072 7217086363608 14434172727216