Search a number
-
+
3442536727425 = 345241157264101
BaseRepresentation
bin110010000110000111001…
…011011100001110000001
3110012002210022012021210000
4302012013023130032001
5422400303400234200
611153251325230213
7503500161242505
oct62060713341601
913162708167700
103442536727425
111107a76265a64
1247722a702369
131bc82593c033
14bc896518305
155e8356a7300
hex321872dc381

3442536727425 has 120 divisors (see below), whose sum is σ = 6573930850872. Its totient is φ = 1779822720000.

The previous prime is 3442536727411. The next prime is 3442536727453. The reversal of 3442536727425 is 5247276352443.

It is a happy number.

3442536727425 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 5 + 367 + 274 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2556234985329 + 886301742096 = 1598823^2 + 941436^2 .

It is not a de Polignac number, because 3442536727425 - 217 = 3442536596353 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12902875 + ... + 13166975.

Almost surely, 23442536727425 is an apocalyptic number.

It is an amenable number.

3442536727425 is a deficient number, since it is larger than the sum of its proper divisors (3131394123447).

3442536727425 is a wasteful number, since it uses less digits than its factorization.

3442536727425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264321 (or 264307 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 54.

The spelling of 3442536727425 in words is "three trillion, four hundred forty-two billion, five hundred thirty-six million, seven hundred twenty-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 81 123 135 157 205 225 369 405 471 615 675 785 1025 1107 1413 1845 2025 2355 3075 3321 3925 4239 5535 6437 7065 9225 11775 12717 16605 19311 21195 27675 32185 35325 57933 63585 83025 96555 105975 160925 173799 264101 289665 317925 482775 521397 792303 868995 1320505 1448325 2376909 2606985 3961515 4344975 6602525 7130727 10828141 11884545 13034925 19807575 21392181 32484423 35653635 41463857 54140705 59422725 97453269 106960905 124391571 162422115 178268175 207319285 270703525 292359807 373174713 487266345 534804525 621957855 812110575 877079421 1036596425 1119524139 1461799035 1700018137 1865873565 2436331725 3109789275 3358572417 4385397105 5100054411 5597620695 7308995175 8500090685 9329367825 15300163233 16792862085 21926985525 25500272055 27988103475 42500453425 45900489699 76500816165 83964310425 127501360275 137701469097 229502448495 382504080825 688507345485 1147512242475 3442536727425