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14422101411300 = 223521140231108631
BaseRepresentation
bin1101000111011110100000…
…1110110100010111100100
31220001201222001012100101020
43101313220032310113210
53342242430430130200
650401231045131140
73015651055221042
oct321675016642744
956051861170336
1014422101411300
114660419299460
12174b1246b9ab0
13807cc943024b
1437c067a4d392
151a0242ca7ea0
hexd1de83b45e4

14422101411300 has 144 divisors (see below), whose sum is σ = 45522947011584. Its totient is φ = 3496147920000.

The previous prime is 14422101411293. The next prime is 14422101411313. The reversal of 14422101411300 is 311410122441.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132707985 + ... + 132816615.

Almost surely, 214422101411300 is an apocalyptic number.

14422101411300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14422101411300 is an abundant number, since it is smaller than the sum of its proper divisors (31100845600284).

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

14422101411300 is a wasteful number, since it uses less digits than its factorization.

14422101411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148890 (or 148883 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14422101411300 its reverse (311410122441), we get a palindrome (14733511533741).

The spelling of 14422101411300 in words is "fourteen trillion, four hundred twenty-two billion, one hundred one million, four hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 40231 80462 108631 120693 160924 201155 217262 241386 325893 402310 434524 442541 482772 543155 603465 651786 804620 885082 1005775 1086310 1194941 1206930 1303572 1327623 1629465 1770164 2011550 2172620 2212705 2389882 2413860 2655246 2715775 3017325 3258930 3584823 4023100 4425410 4779764 5310492 5431550 5974705 6034650 6517860 6638115 7169646 8147325 8850820 10863100 11063525 11949410 12069300 13276230 14339292 16294650 17924115 22127050 23898820 26552460 29873525 32589300 33190575 35848230 44254100 59747050 66381150 71696460 89620575 119494100 132762300 179241150 358482300 4370333761 8740667522 13111001283 17481335044 21851668805 26222002566 43703337610 48073671371 52444005132 65555006415 87406675220 96147342742 109258344025 131110012830 144221014113 192294685484 218516688050 240368356855 262220025660 288442028226 327775032075 437033376100 480736713710 576884056452 655550064150 721105070565 961473427420 1201841784275 1311100128300 1442210141130 2403683568550 2884420282260 3605525352825 4807367137100 7211050705650 14422101411300