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5431400102532 = 2232942144518329
BaseRepresentation
bin100111100001001100010…
…1011000111101010000100
3201020020101121111222101110
41033002120223013222010
51202442001411240112
615315052321525020
71100256105062445
oct117023053075204
921206347458343
105431400102532
111804497841718
12738784aa3770
13305242b80a21
1414ac49cd12cc
159643ab0913c
hex4f098ac7a84

5431400102532 has 96 divisors (see below), whose sum is σ = 13145947516800. Its totient is φ = 1743283584000.

The previous prime is 5431400102519. The next prime is 5431400102533. The reversal of 5431400102532 is 2352010041345.

It is a super-2 number, since 2×54314001025322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5431400102532.

It is not an unprimeable number, because it can be changed into a prime (5431400102533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652102944 + ... + 652111272.

It is an arithmetic number, because the mean of its divisors is an integer number (136936953300).

Almost surely, 25431400102532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5431400102532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572973758400).

5431400102532 is an abundant number, since it is smaller than the sum of its proper divisors (7714547414268).

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

5431400102532 is a wasteful number, since it uses less digits than its factorization.

5431400102532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13237 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 5431400102532 its reverse (2352010041345), we get a palindrome (7783410143877).

The spelling of 5431400102532 in words is "five trillion, four hundred thirty-one billion, four hundred million, one hundred two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 421 842 1263 1684 2526 4451 5052 8329 8902 12209 13353 16658 17804 24418 24987 26706 33316 36627 48836 49974 53412 73254 99948 129079 146508 241541 258158 387237 483082 516316 724623 774474 966164 1449246 1548948 1873871 2898492 3506509 3747742 5621613 7013018 7495484 10519527 11243226 14026036 21039054 22486452 37072379 42078108 54342259 74144758 101688761 108684518 111217137 148289516 163026777 203377522 217369036 222434274 305066283 326053554 406755044 444868548 610132566 652107108 1075098991 1220265132 2150197982 3225296973 4300395964 6450593946 12901187892 15607471559 31214943118 46822414677 62429886236 93644829354 187289658708 452616675211 905233350422 1357850025633 1810466700844 2715700051266 5431400102532