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201411240324 = 223721959305563
BaseRepresentation
bin1011101110010100001…
…0111010000110000100
3201020212200210010021120
42323211002322012010
511244442234142244
6232305501513540
720360105203200
oct2734502720604
9636780703246
10201411240324
1178466437a18
12330502728b0
1315cba804c18
149a696bbb00
15538c2d9819
hex2ee50ba184

201411240324 has 144 divisors (see below), whose sum is σ = 585216172800. Its totient is φ = 53593130304.

The previous prime is 201411240299. The next prime is 201411240347. The reversal of 201411240324 is 423042114102.

It is a junction number, because it is equal to n+sod(n) for n = 201411240294 and 201411240303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506367 + ... + 811929.

It is an arithmetic number, because the mean of its divisors is an integer number (4064001200).

Almost surely, 2201411240324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201411240324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292608086400).

201411240324 is an abundant number, since it is smaller than the sum of its proper divisors (383804932476).

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

201411240324 is a wasteful number, since it uses less digits than its factorization.

201411240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305662 (or 305653 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201411240324 its reverse (423042114102), we get a palindrome (624453354426).

The spelling of 201411240324 in words is "two hundred one billion, four hundred eleven million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 59 76 84 98 114 118 133 147 177 196 228 236 266 294 354 399 413 532 588 708 798 826 931 1121 1239 1596 1652 1862 2242 2478 2793 2891 3363 3724 4484 4956 5586 5782 6726 7847 8673 11172 11564 13452 15694 17346 23541 31388 34692 47082 54929 94164 109858 164787 219716 305563 329574 611126 659148 916689 1222252 1833378 2138941 3666756 4277882 5805697 6416823 8555764 11611394 12833646 14972587 17417091 18028217 23222788 25667292 29945174 34834182 36056434 40639879 44917761 54084651 59890348 69668364 72112868 81279758 89835522 108169302 121919637 126197519 162559516 179671044 216338604 243839274 252395038 284479153 342536123 378592557 487678548 504790076 568958306 685072246 757185114 853437459 883382633 1027608369 1137916612 1370144492 1514370228 1706874918 1766765266 2055216738 2397752861 2650147899 3413749836 3533530532 4110433476 4795505722 5300295798 7193258583 9591011444 10600591596 14386517166 16784270027 28773034332 33568540054 50352810081 67137080108 100705620162 201411240324