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5134333140 = 223251912711821
BaseRepresentation
bin1001100100000011…
…11011010011010100
3111020211011010222200
410302001323103110
541003342130030
62205250324500
7241143053166
oct46201732324
914224133880
105134333140
1121a5219532
12bb3589730
1363a933761
14369c6c936
15200b3dd60
hex13207b4d4

5134333140 has 144 divisors (see below), whose sum is σ = 16524318720. Its totient is φ = 1286772480.

The previous prime is 5134333133. The next prime is 5134333153. The reversal of 5134333140 is 413334315.

5134333140 is a `hidden beast` number, since 5 + 1 + 343 + 3 + 314 + 0 = 666.

It is a super-2 number, since 2×51343331402 = 52722753585004519200, which 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 47 ways as a sum of consecutive naturals, for example, 428430 + ... + 440250.

Almost surely, 25134333140 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 5134333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262159360).

5134333140 is an abundant number, since it is smaller than the sum of its proper divisors (11389985580).

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

5134333140 is a wasteful number, since it uses less digits than its factorization.

5134333140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5134333140 is about 71654.2611433542. The cubic root of 5134333140 is about 1725.1545772002.

Adding to 5134333140 its reverse (413334315), we get a palindrome (5547667455).

The spelling of 5134333140 in words is "five billion, one hundred thirty-four million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 127 171 180 190 228 254 285 342 380 381 508 570 635 684 762 855 1140 1143 1270 1524 1710 1905 2286 2413 2540 3420 3810 4572 4826 5715 7239 7620 9652 11430 11821 12065 14478 21717 22860 23642 24130 28956 35463 36195 43434 47284 48260 59105 70926 72390 86868 106389 108585 118210 141852 144780 177315 212778 217170 224599 236420 354630 425556 434340 449198 531945 673797 709260 898396 1063890 1122995 1347594 1501267 2021391 2127780 2245990 2695188 3002534 3368985 4042782 4491980 4503801 6005068 6737970 7506335 8085564 9007602 10106955 13475940 13511403 15012670 18015204 20213910 22519005 27022806 28524073 30025340 40427820 45038010 54045612 57048146 67557015 85572219 90076020 114096292 135114030 142620365 171144438 256716657 270228060 285240730 342288876 427861095 513433314 570481460 855722190 1026866628 1283583285 1711444380 2567166570 5134333140