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4340214242325 = 3252139727075651
BaseRepresentation
bin111111001010001000111…
…011011001110000010101
3120100220211222210220101200
4333022020323121300111
51032102224321223300
613121511125543113
7625366361232453
oct77121073316025
916326758726350
104340214242325
111423746877385
125a11b4b74a99
132563851ac6b0
141100d329b9d3
1577d73d70200
hex3f288ed9c15

4340214242325 has 144 divisors (see below), whose sum is σ = 8462719976256. Its totient is φ = 2113537536000.

The previous prime is 4340214242323. The next prime is 4340214242327. The reversal of 4340214242325 is 5232424120434.

4340214242325 is a `hidden beast` number, since 4 + 3 + 402 + 1 + 4 + 242 + 3 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4340214242323) and next prime (4340214242327).

It is not a de Polignac number, because 4340214242325 - 21 = 4340214242323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4340214242325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340214242323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 768040750 + ... + 768046400.

It is an arithmetic number, because the mean of its divisors is an integer number (58768888724).

Almost surely, 24340214242325 is an apocalyptic number.

4340214242325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4340214242325 is a deficient number, since it is larger than the sum of its proper divisors (4122505733931).

4340214242325 is a wasteful number, since it uses less digits than its factorization.

4340214242325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8484 (or 8476 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 4340214242325 its reverse (5232424120434), we get a palindrome (9572638362759).

The spelling of 4340214242325 in words is "four trillion, three hundred forty billion, two hundred fourteen million, two hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 97 117 195 225 291 325 485 585 873 975 1261 1455 2425 2707 2925 3783 4365 5651 6305 7275 8121 11349 13535 16953 18915 21825 24363 28255 31525 35191 40605 50859 56745 67675 73463 84765 94575 105573 121815 141275 175955 203025 220389 254295 262579 283725 316719 367315 423825 527865 548147 609075 661167 787737 879775 1101945 1271475 1312895 1583595 1644441 1836575 2363211 2639325 2740735 3305835 3413527 3938685 4933323 5509725 6564475 7125911 7917975 8222205 10240581 11816055 13703675 15297257 16529175 17067635 19693425 21377733 24666615 30721743 35629555 41111025 45891771 51202905 59080275 64133199 76486285 85338175 106888665 123333075 137675313 153608715 178147775 198864341 229458855 256014525 320665995 382431425 534443325 596593023 688376565 768043575 994321705 1147294275 1483833929 1603329975 1789779069 2982965115 3441882825 4451501787 4971608525 7419169645 8948895345 13354505361 14914825575 19289841077 22257508935 37095848225 44744476725 57869523231 66772526805 96449205385 111287544675 173608569693 289347616155 333862634025 482246026925 868042848465 1446738080775 4340214242325