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22141110014320 = 2451141718643199
BaseRepresentation
bin1010000100011001000001…
…11111110101000101110000
32220101200002000200210202111
411002030200333311011300
510400224443130424240
6115031252512255104
74443433226611423
oct502144077650560
986350060623674
1022141110014320
117066aa0427170
122597118b41494
13c47b89385cab
145678c79239ba
15285e1b2481ea
hex142320ff5170

22141110014320 has 160 divisors (see below), whose sum is σ = 58337866137600. Its totient is φ = 7744305408000.

The previous prime is 22141110014299. The next prime is 22141110014321. The reversal of 22141110014320 is 2341001114122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22141110014291 and 22141110014300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22141110014321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759920 + ... + 6883279.

It is an arithmetic number, because the mean of its divisors is an integer number (364611663360).

Almost surely, 222141110014320 is an apocalyptic number.

22141110014320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22141110014320 is an abundant number, since it is smaller than the sum of its proper divisors (36196756123280).

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

22141110014320 is a wasteful number, since it uses less digits than its factorization.

22141110014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8643335 (or 8643329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 22141110014320 its reverse (2341001114122), we get a palindrome (24482111128442).

The spelling of 22141110014320 in words is "twenty-two trillion, one hundred forty-one billion, one hundred ten million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 71 80 82 88 110 142 164 176 205 220 284 328 355 410 440 451 568 656 710 781 820 880 902 1136 1420 1562 1640 1804 2255 2840 2911 3124 3280 3608 3905 4510 5680 5822 6248 7216 7810 9020 11644 12496 14555 15620 18040 23288 29110 31240 32021 36080 46576 58220 62480 64042 116440 128084 160105 232880 256168 320210 512336 640420 1280840 2561680 8643199 17286398 34572796 43215995 69145592 86431990 95075189 138291184 172863980 190150378 345727960 354371159 380300756 475375945 613667129 691455920 708742318 760601512 950751890 1227334258 1417484636 1521203024 1771855795 1901503780 2454668516 2834969272 3068335645 3543711590 3803007560 3898082749 4909337032 5669938544 6136671290 6750338419 7087423180 7606015120 7796165498 9818674064 12273342580 13500676838 14174846360 15592330996 19490413745 24546685160 25160352289 27001353676 28349692720 31184661992 33751692095 38980827490 49093370320 50320704578 54002707352 62369323984 67503384190 77961654980 100641409156 108005414704 125801761445 135006768380 155923309960 201282818312 251603522890 270013536760 276763875179 311846619920 402565636624 503207045780 540027073520 553527750358 1006414091560 1107055500716 1383819375895 2012828183120 2214111001432 2767638751790 4428222002864 5535277503580 11070555007160 22141110014320