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3045412035225 = 3252721716248697
BaseRepresentation
bin101100010100010000101…
…100111101101010011001
3101210010202000000200120200
4230110100230331222121
5344344000440111400
610251013141012413
7433011102121200
oct54242054755231
911703660020520
103045412035225
11a746087779aa
1241227a3b4109
13191247c07671
14a7582180237
1554341421b00
hex2c510b3da99

3045412035225 has 108 divisors (see below), whose sum is σ = 6718479151644. Its totient is φ = 1310294845440.

The previous prime is 3045412035223. The next prime is 3045412035257. The reversal of 3045412035225 is 5225302145403.

3045412035225 is a `hidden beast` number, since 3 + 0 + 4 + 5 + 4 + 120 + 3 + 522 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16799270544 + 3028612764681 = 129612^2 + 1740291^2 .

It is not a de Polignac number, because 3045412035225 - 21 = 3045412035223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3045412035225.

It is not an unprimeable number, because it can be changed into a prime (3045412035223) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7936924 + ... + 8311773.

It is an arithmetic number, because the mean of its divisors is an integer number (62208140293).

Almost surely, 23045412035225 is an apocalyptic number.

3045412035225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3045412035225 is an abundant number, since it is smaller than the sum of its proper divisors (3673067116419).

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

3045412035225 is a wasteful number, since it uses less digits than its factorization.

3045412035225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16248744 (or 16248729 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 3045412035225 in words is "three trillion, forty-five billion, four hundred twelve million, thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 49 51 63 75 85 105 119 147 153 175 225 245 255 315 357 425 441 525 595 735 765 833 1071 1225 1275 1575 1785 2205 2499 2975 3675 3825 4165 5355 7497 8925 11025 12495 20825 26775 37485 62475 187425 16248697 48746091 81243485 113740879 146238273 243730455 276227849 341222637 406217425 568704395 731191365 796186153 828683547 1023667911 1218652275 1381139245 1706113185 1933594943 2388558459 2486050641 2843521975 3655956825 3980930765 4143417735 5118339555 5800784829 6905696225 7165675377 8530565925 9667974715 11942792295 12430253205 13535164601 17402354487 19904653825 20717088675 25591697775 29003924145 35828376885 40605493803 48339873575 59713961475 62151266025 67675823005 87011772435 121816481409 145019620725 179141884425 203027469015 338379115025 435058862175 609082407045 1015137345075 3045412035225