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201403413240 = 233514918162233
BaseRepresentation
bin1011101110010010010…
…1000011001011111000
3201020212011001110112120
42323210211003023320
511244433233210430
6232305022041240
720356651523541
oct2734445031370
9636764043476
10201403413240
1178461a81357
1233049719220
1315cb8cc4403
149a686414c8
15538b790610
hex2ee49432f8

201403413240 has 128 divisors (see below), whose sum is σ = 611635752000. Its totient is φ = 53051535360.

The previous prime is 201403413223. The next prime is 201403413257. The reversal of 201403413240 is 42314304102.

201403413240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201403413223) and next prime (201403413257).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201403413240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3205164 + ... + 3267396.

Almost surely, 2201403413240 is an apocalyptic number.

201403413240 is a gapful number since it is divisible by the number (20) 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 201403413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305817876000).

201403413240 is an abundant number, since it is smaller than the sum of its proper divisors (410232338760).

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

201403413240 is a wasteful number, since it uses less digits than its factorization.

201403413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62577 (or 62573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201403413240 its reverse (42314304102), we get a palindrome (243717717342).

The spelling of 201403413240 in words is "two hundred one billion, four hundred three million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 181 298 362 447 543 596 724 745 894 905 1086 1192 1448 1490 1788 1810 2172 2235 2715 2980 3576 3620 4344 4470 5430 5960 7240 8940 10860 17880 21720 26969 53938 62233 80907 107876 124466 134845 161814 186699 215752 248932 269690 311165 323628 373398 404535 497864 539380 622330 647256 746796 809070 933495 1078760 1244660 1493592 1618140 1866990 2489320 3236280 3733980 7467960 9272717 11264173 18545434 22528346 27818151 33792519 37090868 45056692 46363585 55636302 56320865 67585038 74181736 90113384 92727170 111272604 112641730 135170076 139090755 168962595 185454340 222545208 225283460 270340152 278181510 337925190 370908680 450566920 556363020 675850380 1112726040 1351700760 1678361777 3356723554 5035085331 6713447108 8391808885 10070170662 13426894216 16783617770 20140341324 25175426655 33567235540 40280682648 50350853310 67134471080 100701706620 201403413240