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1421853532225 = 52743121572
BaseRepresentation
bin10100101100001101000…
…100110010000001000001
312000221001102021020221021
4110230031010302001001
5141243424001012400
63005105051425441
7204503566420000
oct24541504620101
95027042236837
101421853532225
114a9006284525
121ab693a55281
13a41072c5929
144cb64b40c37
1526ebb9aa71a
hex14b0d132041

1421853532225 has 135 divisors (see below), whose sum is σ = 2138938500681. Its totient is φ = 937524369600.

The previous prime is 1421853532219. The next prime is 1421853532247. The reversal of 1421853532225 is 5222353581241.

The square root of 1421853532225 is 1192415.

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

It can be written as a sum of positive squares in 4 ways, for example, as 171965307969 + 1249888224256 = 414687^2 + 1117984^2 .

It is not a de Polignac number, because 1421853532225 - 27 = 1421853532097 is a prime.

It is a super-2 number, since 2×14218535322252 (a number of 25 digits) contains 22 as substring.

Its product of digits (576000) is a multiple of the sum of its prime divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9056391847 + ... + 9056392003.

Almost surely, 21421853532225 is an apocalyptic number.

1421853532225 is the 1192415-th square number.

1421853532225 is the 596208-th centered octagonal number.

It is an amenable number.

1421853532225 is a deficient number, since it is larger than the sum of its proper divisors (717084968456).

1421853532225 is an frugal number, since it uses more digits than its factorization.

1421853532225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 200 counting only the distinct ones).

The product of its digits is 576000, while the sum is 43.

The spelling of 1421853532225 in words is "one trillion, four hundred twenty-one billion, eight hundred fifty-three million, five hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 31 35 49 155 157 175 217 245 343 775 785 961 1085 1099 1225 1519 1715 2401 3925 4805 4867 5425 5495 6727 7595 7693 8575 10633 12005 24025 24335 24649 27475 33635 34069 37975 38465 47089 53165 53851 60025 74431 121675 123245 150877 168175 170345 172543 192325 235445 238483 265825 269255 329623 372155 376957 616225 754385 764119 851725 862715 1056139 1177225 1192415 1207801 1346275 1648115 1669381 1860775 1884785 2307361 3771925 3820595 4313575 5280695 5348833 5962075 6039005 7392973 8240575 8346905 8454607 9423925 11536805 11685667 19102975 23687689 26403475 26744165 30195025 36964865 37441831 41734525 42273035 51750811 57684025 58428335 59182249 118438445 133720825 165813823 184824325 187209155 211365175 258754055 262092817 292141675 295911245 362255677 592192225 829069115 936045775 1160696761 1293770275 1310464085 1479556225 1811278385 1834649719 4145345575 5803483805 6552320425 8124877327 9056391925 9173248595 29017419025 40624386635 45866242975 56874141289 203121933175 284370706445 1421853532225