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14411044120 = 2351147798821
BaseRepresentation
bin11010110101111011…
…10001010100011000
31101012022220220002211
431122331301110120
5214003211402440
610341554404504
71020055565614
oct153275612430
941168826084
1014411044120
116125727820
122962290734
131488819355
149a9d14344
15595278eea
hex35af71518

14411044120 has 128 divisors (see below), whose sum is σ = 36586598400. Its totient is φ = 5063385600.

The previous prime is 14411044117. The next prime is 14411044139. The reversal of 14411044120 is 2144011441.

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 = 14411044091 and 14411044100.

It is a congruent number.

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, 1629310 + ... + 1638130.

It is an arithmetic number, because the mean of its divisors is an integer number (285832800).

Almost surely, 214411044120 is an apocalyptic number.

14411044120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14411044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18293299200).

14411044120 is an abundant number, since it is smaller than the sum of its proper divisors (22175554280).

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

14411044120 is a wasteful number, since it uses less digits than its factorization.

14411044120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 14411044120 its reverse (2144011441), we get a palindrome (16555055561).

The spelling of 14411044120 in words is "fourteen billion, four hundred eleven million, forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 79 88 94 110 158 188 220 235 316 376 395 440 470 517 632 790 869 940 1034 1580 1738 1880 2068 2585 3160 3476 3713 4136 4345 5170 6952 7426 8690 8821 10340 14852 17380 17642 18565 20680 29704 34760 35284 37130 40843 44105 70568 74260 81686 88210 97031 148520 163372 176420 194062 204215 326744 352840 388124 408430 414587 485155 696859 776248 816860 829174 970310 1393718 1633720 1658348 1940620 2072935 2787436 3316696 3484295 3881240 4145870 4560457 5574872 6968590 7665449 8291740 9120914 13937180 15330898 16583480 18241828 22802285 27874360 30661796 32752373 36483656 38327245 45604570 61323592 65504746 76654490 91209140 131009492 153308980 163761865 182418280 262018984 306617960 327523730 360276103 655047460 720552206 1310094920 1441104412 1801380515 2882208824 3602761030 7205522060 14411044120