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4405435224225 = 352753268359011
BaseRepresentation
bin100000000011011100001…
…1001101101000010100001
3120121011012100121001212220
41000012320121231002201
51034134312404133400
613211455021541253
7633165535360650
oct100067031550241
916534170531786
104405435224225
111449375375412
125b1977414829
1325c57a4baa89
1411331d2d7197
15798deb2a7a0
hex401b866d0a1

4405435224225 has 96 divisors (see below), whose sum is σ = 8484539526144. Its totient is φ = 1975144953600.

The previous prime is 4405435224191. The next prime is 4405435224269. The reversal of 4405435224225 is 5224225345044.

It is not a de Polignac number, because 4405435224225 - 210 = 4405435223201 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74624970 + ... + 74683980.

It is an arithmetic number, because the mean of its divisors is an integer number (88380620064).

Almost surely, 24405435224225 is an apocalyptic number.

It is an amenable number.

4405435224225 is a deficient number, since it is larger than the sum of its proper divisors (4079104301919).

4405435224225 is a wasteful number, since it uses less digits than its factorization.

4405435224225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61767 (or 61762 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

The spelling of 4405435224225 in words is "four trillion, four hundred five billion, four hundred thirty-five million, two hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 53 75 105 159 175 265 371 525 795 1113 1325 1855 2683 3975 5565 8049 9275 13415 18781 27825 40245 56343 59011 67075 93905 142199 177033 201225 281715 295055 413077 426597 469525 710995 885165 995393 1239231 1408575 1475275 2065385 2132985 2986179 3127583 3554975 4425825 4976965 6196155 9382749 10326925 10664925 14930895 15637915 21893081 24884825 30980775 46913745 65679243 74654475 78189575 109465405 158326513 234568725 328396215 474979539 547327025 791632565 1108285591 1641981075 2374897695 3324856773 3958162825 5541427955 8391305189 11874488475 16624283865 25173915567 27707139775 41956525945 58739136323 83121419325 125869577835 176217408969 209782629725 293695681615 629347889175 881087044845 1468478408075 4405435224225