Search a number
-
+
5431457640 = 2335747913499
BaseRepresentation
bin1010000111011110…
…10111011101101000
3112000112020122011210
411003233113131220
542110423121030
62254542553120
7251411425320
oct50357273550
915015218153
105431457640
112337a09574
121076b987a0
1368736577b
143974d4280
1521bc80bb0
hex143bd7768

5431457640 has 128 divisors (see below), whose sum is σ = 18662400000. Its totient is φ = 1238792448.

The previous prime is 5431457639. The next prime is 5431457671. The reversal of 5431457640 is 467541345.

It is a happy number.

It is a super-2 number, since 2×54314576402 = 59001464190228739200, which contains 22 as substring.

It is an unprimeable number.

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, 395611 + ... + 409109.

It is an arithmetic number, because the mean of its divisors is an integer number (145800000).

Almost surely, 25431457640 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 5431457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200000).

5431457640 is an abundant number, since it is smaller than the sum of its proper divisors (13230942360).

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

5431457640 is a wasteful number, since it uses less digits than its factorization.

5431457640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13999 (or 13995 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 5431457640 is about 73698.4235923673. The cubic root of 5431457640 is about 1757.8108154635.

Adding to 5431457640 its reverse (467541345), we get a palindrome (5898998985).

The spelling of 5431457640 in words is "five billion, four hundred thirty-one million, four hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 479 840 958 1437 1916 2395 2874 3353 3832 4790 5748 6706 7185 9580 10059 11496 13412 13499 14370 16765 19160 20118 26824 26998 28740 33530 40236 40497 50295 53996 57480 67060 67495 80472 80994 94493 100590 107992 134120 134990 161988 188986 201180 202485 269980 283479 323976 377972 402360 404970 472465 539960 566958 755944 809940 944930 1133916 1417395 1619880 1889860 2267832 2834790 3779720 5669580 6466021 11339160 12932042 19398063 25864084 32330105 38796126 45262147 51728168 64660210 77592252 90524294 96990315 129320420 135786441 155184504 181048588 193980630 226310735 258640840 271572882 362097176 387961260 452621470 543145764 678932205 775922520 905242940 1086291528 1357864410 1810485880 2715728820 5431457640