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14346122114380 = 22571715383391847
BaseRepresentation
bin1101000011000011011110…
…0000110011010101001100
31212210110211220202011010011
43100300313200303111030
53340021324230130010
650302303441123004
73010321164650620
oct320606740632514
955713756664104
1014346122114380
114631179a27091
12173845b329464
13800aab2b82a4
143784dac97180
1519d29779da8a
hexd0c3783354c

14346122114380 has 96 divisors (see below), whose sum is σ = 36458490894336. Its totient is φ = 4629024132096.

The previous prime is 14346122114341. The next prime is 14346122114399. The reversal of 14346122114380 is 8341122164341.

It is a super-2 number, since 2×143461221143802 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36415617 + ... + 36807463.

It is an arithmetic number, because the mean of its divisors is an integer number (379775946816).

Almost surely, 214346122114380 is an apocalyptic number.

14346122114380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14346122114380 is an abundant number, since it is smaller than the sum of its proper divisors (22112368779956).

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

14346122114380 is a wasteful number, since it uses less digits than its factorization.

14346122114380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407263 (or 407261 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 14346122114380 in words is "fourteen trillion, three hundred forty-six billion, one hundred twenty-two million, one hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 15383 30766 61532 76915 107681 153830 215362 261511 307660 391847 430724 523022 538405 783694 1046044 1076810 1307555 1567388 1830577 1959235 2153620 2615110 2742929 3661154 3918470 5230220 5485858 6661399 7322308 7836940 9152885 10971716 13322798 13714645 18305770 26645596 27429290 33306995 36611540 46629793 54858580 66613990 93259586 133227980 186519172 233148965 466297930 932595860 6027782401 12055564802 24111129604 30138912005 42194476807 60277824010 84388953614 102472300817 120555648020 168777907228 204944601634 210972384035 409889203268 421944768070 512361504085 717306105719 843889536140 1024723008170 1434612211438 2049446016340 2869224422876 3586530528595 7173061057190 14346122114380