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245311003114425 = 325219532447442457
BaseRepresentation
bin110111110001101111101011…
…001100110011101110111001
31012011120111120120220100110200
4313301233223030303232321
5224123133413244130200
62225422152530232413
7102446064225113013
oct6761575314635671
91164514516810420
10245311003114425
11711888a3016976
122361aaba725709
13a6b59611c45a1
14448118a0691b3
151d5617eb43800
hexdf1beb333bb9

245311003114425 has 144 divisors (see below), whose sum is σ = 471424627964160. Its totient is φ = 121558025272320.

The previous prime is 245311003114367. The next prime is 245311003114469. The reversal of 245311003114425 is 524411300113542.

245311003114425 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 110 + 0 + 3 + 114 + 425 = 666.

It is not a de Polignac number, because 245311003114425 - 220 = 245311002065849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 245311003114425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 554207797 + ... + 554650253.

It is an arithmetic number, because the mean of its divisors is an integer number (3273782138640).

Almost surely, 2245311003114425 is an apocalyptic number.

245311003114425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

245311003114425 is a deficient number, since it is larger than the sum of its proper divisors (226113624849735).

245311003114425 is a wasteful number, since it uses less digits than its factorization.

245311003114425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444992 (or 444984 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 245311003114425 its reverse (524411300113542), we get a palindrome (769722303227967).

The spelling of 245311003114425 in words is "two hundred forty-five trillion, three hundred eleven billion, three million, one hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 53 57 75 95 159 171 225 265 285 475 477 795 855 1007 1325 1425 2385 2447 3021 3975 4275 5035 7341 9063 11925 12235 15105 22023 25175 36705 45315 46493 61175 75525 110115 129691 139479 183525 226575 232465 389073 418437 442457 550575 648455 697395 1162325 1167219 1327371 1945365 2092185 2212285 2464129 3242275 3486975 3982113 5836095 6636855 7392387 8406683 9726825 10460925 11061425 12320645 19910565 22177161 23450221 25220049 29180475 33184275 36961935 42033415 61603225 70350663 75660147 99552825 110885805 117251105 126100245 184809675 210167075 211051989 351753315 378300735 445554199 554429025 586255525 630501225 1055259945 1082692279 1336662597 1758766575 1891503675 2227770995 3248076837 4009987791 5276299725 5413461395 6683312985 9744230511 11138854975 16240384185 20049938955 20571153301 27067306975 33416564925 48721152555 57382690787 61713459903 81201920925 100249694775 102855766505 172148072361 185140379709 243605762775 286913453935 308567299515 514278832525 516444217083 860740361805 925701898545 1090271124953 1434567269675 1542836497575 2582221085415 3270813374859 4303701809025 4628509492725 5451355624765 9812440124577 12911105427075 16354066874295 27256778123825 49062200622885 81770334371475 245311003114425