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5431127940 = 2232579534523
BaseRepresentation
bin1010000111011100…
…00110111110000100
3112000111121212220200
411003232012332010
542110332043230
62254531530500
7251405553150
oct50356067604
915014555820
105431127940
112337803897
121076a59a30
1368727b694
1439744a060
1521bc18160
hex143b86f84

5431127940 has 144 divisors (see below), whose sum is σ = 18851833728. Its totient is φ = 1239823872.

The previous prime is 5431127939. The next prime is 5431127953. The reversal of 5431127940 is 497211345.

5431127940 is a `hidden beast` number, since 543 + 1 + 1 + 2 + 79 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5431127895 and 5431127904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1198519 + ... + 1203041.

It is an arithmetic number, because the mean of its divisors is an integer number (130915512).

Almost surely, 25431127940 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 5431127940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425916864).

5431127940 is an abundant number, since it is smaller than the sum of its proper divisors (13420705788).

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

5431127940 is a wasteful number, since it uses less digits than its factorization.

5431127940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5431127940 is about 73696.1867398850. The cubic root of 5431127940 is about 1757.7752472366.

The spelling of 5431127940 in words is "five billion, four hundred thirty-one million, one hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 953 1260 1906 2859 3812 4523 4765 5718 6671 8577 9046 9530 11436 13342 13569 14295 17154 18092 19060 20013 22615 26684 27138 28590 31661 33355 34308 40026 40707 42885 45230 54276 57180 60039 63322 66710 67845 80052 81414 85770 90460 94983 100065 120078 126644 133420 135690 158305 162828 171540 189966 200130 203535 240156 271380 284949 300195 316610 379932 400260 407070 474915 569898 600390 633220 814140 949830 1139796 1200780 1424745 1899660 2849490 4310419 5698980 8620838 12931257 17241676 21552095 25862514 30172933 38793771 43104190 51725028 60345866 64656285 77587542 86208380 90518799 120691732 129312570 150864665 155175084 181037598 193968855 258625140 271556397 301729330 362075196 387937710 452593995 543112794 603458660 775875420 905187990 1086225588 1357781985 1810375980 2715563970 5431127940