Search a number
-
+
431446049242704 = 243227111055915571
BaseRepresentation
bin110001000011001011101110…
…0100000010011111001010000
32002120121211122222201120120100
41202012113130200103321100
5423022303002101231304
64125335325004012400
7156606643206152526
oct14206273440237120
92076554588646510
10431446049242704
11115521273027611
1240481174b31100
1315698259993972
147878158d58316
1534d2d7db62439
hex18865dc813e50

431446049242704 has 60 divisors (see below), whose sum is σ = 1211905241340352. Its totient is φ = 143284665787200.

The previous prime is 431446049242687. The next prime is 431446049242759. The reversal of 431446049242704 is 407242940644134.

It is a happy number.

431446049242704 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 4 + 604 + 9 + 2 + 4 + 27 + 0 + 4 = 666.

It is a super-2 number, since 2×4314460492427042 (a number of 30 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 11 ways as a sum of consecutive naturals, for example, 5527918762 + ... + 5527996809.

Almost surely, 2431446049242704 is an apocalyptic number.

It is an amenable number.

431446049242704 is an abundant number, since it is smaller than the sum of its proper divisors (780459192097648).

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

431446049242704 is a wasteful number, since it uses less digits than its factorization.

431446049242704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055915856 (or 11055915847 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

Adding to 431446049242704 its reverse (407242940644134), we get a palindrome (838688989886838).

The spelling of 431446049242704 in words is "four hundred thirty-one trillion, four hundred forty-six billion, forty-nine million, two hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 542 813 1084 1626 2168 2439 3252 4336 4878 6504 9756 13008 19512 39024 11055915571 22111831142 33167746713 44223662284 66335493426 88447324568 99503240139 132670986852 176894649136 199006480278 265341973704 398012960556 530683947408 796025921112 1592051842224 2996153119741 5992306239482 8988459359223 11984612478964 17976918718446 23969224957928 26965378077669 35953837436892 47938449915856 53930756155338 71907674873784 107861512310676 143815349747568 215723024621352 431446049242704