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14221111410 = 23351134713799
BaseRepresentation
bin11010011111010010…
…01111000001110010
31100201002112022102000
431033221033001302
5213111101031120
610311051434430
71012261311132
oct151751170162
940632468360
1014221111410
1160384a0540
12290a755a16
13145837842c
1498c9d2ac2
1558375c990
hex34fa4f072

14221111410 has 128 divisors (see below), whose sum is σ = 41492736000. Its totient is φ = 3437357760.

The previous prime is 14221111363. The next prime is 14221111417. The reversal of 14221111410 is 1411112241.

14221111410 is a `hidden beast` number, since 1 + 42 + 211 + 1 + 1 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14221111417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023691 + ... + 1037489.

It is an arithmetic number, because the mean of its divisors is an integer number (324162000).

Almost surely, 214221111410 is an apocalyptic number.

14221111410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14221111410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746368000).

14221111410 is an abundant number, since it is smaller than the sum of its proper divisors (27271624590).

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

14221111410 is a wasteful number, since it uses less digits than its factorization.

14221111410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14173 (or 14167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 14221111410 its reverse (1411112241), we get a palindrome (15632223651).

The spelling of 14221111410 in words is "fourteen billion, two hundred twenty-one million, one hundred eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 347 495 594 694 990 1041 1485 1735 2082 2970 3123 3470 3817 5205 6246 7634 9369 10410 11451 13799 15615 18738 19085 22902 27598 31230 34353 38170 41397 46845 57255 68706 68995 82794 93690 103059 114510 124191 137990 151789 171765 206118 206985 248382 303578 343530 372573 413970 455367 515295 620955 745146 758945 910734 1030590 1241910 1366101 1517890 1862865 2276835 2732202 3725730 4098303 4553670 4788253 6830505 8196606 9576506 13661010 14364759 20491515 23941265 28729518 40983030 43094277 47882530 52670783 71823795 86188554 105341566 129282831 143647590 158012349 215471385 258565662 263353915 316024698 430942770 474037047 526707830 646414155 790061745 948074094 1292828310 1422111141 1580123490 2370185235 2844222282 4740370470 7110555705 14221111410