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41114240325 = 32521729212781
BaseRepresentation
bin100110010010100110…
…011000010101000101
310221010022200210212200
4212102212120111011
51133200221142300
630515420505113
72653564163604
oct462246302505
9127108623780
1041114240325
1116488a0a314
127b750ab199
133b52b7ab72
141dc0575a3b
151109732200
hex992998545

41114240325 has 108 divisors (see below), whose sum is σ = 80759666988. Its totient is φ = 19924531200.

The previous prime is 41114240269. The next prime is 41114240333. The reversal of 41114240325 is 52304241114.

41114240325 is a `hidden beast` number, since 411 + 1 + 4 + 240 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 14312293956 + 26801946369 = 119634^2 + 163713^2 .

It is not a de Polignac number, because 41114240325 - 29 = 41114239813 is a prime.

It is a super-2 number, since 2×411142403252 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3210435 + ... + 3223215.

Almost surely, 241114240325 is an apocalyptic number.

41114240325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41114240325 is a deficient number, since it is larger than the sum of its proper divisors (39645426663).

41114240325 is a wasteful number, since it uses less digits than its factorization.

41114240325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12872 (or 12835 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41114240325 its reverse (52304241114), we get a palindrome (93418481439).

The spelling of 41114240325 in words is "forty-one billion, one hundred fourteen million, two hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 29 45 51 75 85 87 145 153 225 255 261 425 435 493 725 765 841 1275 1305 1479 2175 2465 2523 3825 4205 4437 6525 7395 7569 12325 12615 12781 14297 21025 22185 36975 37845 38343 42891 63075 63905 71485 110925 115029 128673 189225 191715 214455 217277 319525 357425 370649 575145 643365 651831 958575 1072275 1086385 1111947 1853245 1955493 2875725 3216825 3259155 3335841 5431925 5559735 6301033 9266225 9777465 10748821 16295775 16679205 18903099 27798675 31505165 32246463 48887325 53744105 56709297 83396025 94515495 96739389 157525825 161232315 182729957 268720525 283546485 472577475 483696945 548189871 806161575 913649785 1417732425 1644569613 2418484725 2740949355 4568248925 8222848065 13704746775 41114240325