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1314434453325 = 352721776127647
BaseRepresentation
bin10011001000001010011…
…001100000111101001101
311122122210012022122201120
4103020022121200331031
5133013430210001300
62443502020031153
7163651624335600
oct23101231407515
94578705278646
101314434453325
114674a2a88664
121928b55324b9
1396c4871b896
1447894634337
15242d12753a0
hex1320a660f4d

1314434453325 has 144 divisors (see below), whose sum is σ = 2680326733824. Its totient is φ = 564774604800.

The previous prime is 1314434453323. The next prime is 1314434453347. The reversal of 1314434453325 is 5233544344131.

It is not a de Polignac number, because 1314434453325 - 21 = 1314434453323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314434453323) 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, 47529652 + ... + 47557298.

It is an arithmetic number, because the mean of its divisors is an integer number (18613380096).

Almost surely, 21314434453325 is an apocalyptic number.

1314434453325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314434453325 is an abundant number, since it is smaller than the sum of its proper divisors (1365892280499).

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

1314434453325 is a wasteful number, since it uses less digits than its factorization.

1314434453325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28452 (or 28440 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

Adding to 1314434453325 its reverse (5233544344131), we get a palindrome (6547978797456).

The spelling of 1314434453325 in words is "one trillion, three hundred fourteen billion, four hundred thirty-four million, four hundred fifty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 147 175 245 255 357 425 525 595 735 761 833 1225 1275 1785 2283 2499 2975 3675 3805 4165 5327 8925 11415 12495 12937 15981 19025 20825 26635 27647 37289 38811 57075 62475 64685 79905 82941 90559 111867 133175 138235 186445 193529 194055 271677 323425 399525 414705 452795 469999 559335 580587 633913 691175 932225 967645 970275 1354703 1358385 1409997 1901739 2073525 2263975 2349995 2796675 2902935 3169565 3289993 4064109 4838225 6773515 6791925 7049985 9508695 9869979 11749975 14514675 15847825 16449965 20320545 21039367 23029951 33867575 35249925 47543475 49349895 63118101 69089853 82249825 101602725 105196835 115149755 147275569 246749475 315590505 345449265 357669239 441826707 525984175 575748775 736377845 1030928983 1073007717 1577952525 1727246325 1788346195 2209133535 2503684673 3092786949 3681889225 5154644915 5365038585 7511054019 8941730975 11045667675 12518423365 15463934745 17525792711 25773224575 26825192925 37555270095 52577378133 62592116825 77319673725 87628963555 187776350475 262886890665 438144817775 1314434453325