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3405519614025 = 345223217832
BaseRepresentation
bin110001100011101000110…
…010010111000001001001
3110001120020111222002110000
4301203220302113001021
5421244001010122100
611124250224113213
7501016644050214
oct61435062270111
913046214862400
103405519614025
1110a3300049861
12470019765809
131b91a685b739
14bab8417a77b
155d8ba9d3900
hex318e8c97049

3405519614025 has 135 divisors (see below), whose sum is σ = 6598094406519. Its totient is φ = 1736334182880.

The previous prime is 3405519614023. The next prime is 3405519614083. The reversal of 3405519614025 is 5204169155043.

It is a happy number.

The square root of 3405519614025 is 1845405.

It is a perfect power (a square), and thus also a powerful number.

3405519614025 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 5 + 1 + 9 + 614 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1225987061049 + 2179532552976 = 1107243^2 + 1476324^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3405519614025 - 21 = 3405519614023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3405519614023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1909993284 + ... + 1909995066.

Almost surely, 23405519614025 is an apocalyptic number.

3405519614025 is the 1845405-th square number.

3405519614025 is the 922703-rd centered octagonal number.

It is an amenable number.

3405519614025 is a deficient number, since it is larger than the sum of its proper divisors (3192574792494).

3405519614025 is an frugal number, since it uses more digits than its factorization.

3405519614025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 3405519614025 in words is "three trillion, four hundred five billion, five hundred nineteen million, six hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 345 405 529 575 621 675 1035 1587 1725 1783 1863 2025 2645 3105 4761 5175 5349 7935 8915 9315 13225 14283 15525 16047 23805 26745 39675 41009 42849 44575 46575 48141 71415 80235 119025 123027 133725 144423 205045 214245 240705 357075 369081 401175 615135 722115 943207 1025225 1071225 1107243 1203525 1845405 2829621 3075675 3179089 3321729 3610575 4716035 5536215 8488863 9227025 9537267 14148105 15895445 16608645 23580175 25466589 27681075 28611801 42444315 47686335 70740525 73119047 76399767 79477225 83043225 85835403 127332945 143059005 212221575 219357141 238431675 257506209 365595235 381998835 429177015 636664725 658071423 715295025 1096785705 1287531045 1681738081 1827976175 1909994175 1974214269 2145885075 3290357115 5045214243 5483928525 5922642807 6437655225 8408690405 9871071345 15135642729 16451785575 25226071215 29613214035 42043452025 45406928187 49355356725 75678213645 126130356075 136220784561 148066070175 227034640935 378391068225 681103922805 1135173204675 3405519614025