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43140120804 = 223411210492
BaseRepresentation
bin101000001011010110…
…100000000011100100
311010100111202012110000
4220023112200003210
51201322332331204
631452430301300
73055023655644
oct501326400344
9133314665400
1043140120804
1117328523300
12843b657830
1340b67b7101
14213364a524
1511c7508039
hexa0b5a00e4

43140120804 has 135 divisors (see below), whose sum is σ = 124079556601. Its totient is φ = 13060301760.

The previous prime is 43140120797. The next prime is 43140120811. The reversal of 43140120804 is 40802104134.

The square root of 43140120804 is 207702.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (43140120797) and next prime (43140120811).

It can be written as a sum of positive squares in only one way, i.e., 39125631204 + 4014489600 = 197802^2 + 63360^2 .

It is a super-2 number, since 2×431401208042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41124472 + ... + 41125520.

Almost surely, 243140120804 is an apocalyptic number.

43140120804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

43140120804 is the 207702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43140120804

43140120804 is an abundant number, since it is smaller than the sum of its proper divisors (80939435797).

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

43140120804 is a wasteful number, since it uses less digits than its factorization.

43140120804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 43140120804 its reverse (40802104134), we get a palindrome (83942224938).

The spelling of 43140120804 in words is "forty-three billion, one hundred forty million, one hundred twenty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1049 1089 1188 1452 1782 2098 2178 3147 3267 3564 4196 4356 6294 6534 9441 9801 11539 12588 13068 18882 19602 23078 28323 34617 37764 39204 46156 56646 69234 84969 103851 113292 126929 138468 169938 207702 253858 311553 339876 380787 415404 507716 623106 761574 934659 1100401 1142361 1246212 1523148 1869318 2200802 2284722 3301203 3427083 3738636 4401604 4569444 6602406 6854166 9903609 10281249 12104411 13204812 13708332 19807218 20562498 24208822 29710827 36313233 39614436 41124996 48417644 59421654 72626466 89132481 108939699 118843308 133148521 145252932 178264962 217879398 266297042 326819097 356529924 399445563 435758796 532594084 653638194 798891126 980457291 1198336689 1307276388 1597782252 1960914582 2396673378 3595010067 3921829164 4793346756 7190020134 10785030201 14380040268 21570060402 43140120804