Search a number
-
+
43132123656 = 23324131346681
BaseRepresentation
bin101000001010110111…
…111111101000001000
311010022221200220102100
4220022313333220020
51201313310424111
631451543033400
73054566000436
oct501267775010
9133287626370
1043132123656
1117323a60996
128438a3b860
1340b4c4707b
142132567d56
1511c6978756
hexa0adffa08

43132123656 has 96 divisors (see below), whose sum is σ = 120050232120. Its totient is φ = 13981593600.

The previous prime is 43132123633. The next prime is 43132123669. The reversal of 43132123656 is 65632123134.

43132123656 is a `hidden beast` number, since 431 + 3 + 212 + 3 + 6 + 5 + 6 = 666.

43132123656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27005663556 + 16126460100 = 164334^2 + 126990^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 43132123656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900636 + ... + 947316.

Almost surely, 243132123656 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 43132123656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60025116060).

43132123656 is an abundant number, since it is smaller than the sum of its proper divisors (76918108464).

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

43132123656 is a wasteful number, since it uses less digits than its factorization.

43132123656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47047 (or 47040 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 43132123656 in words is "forty-three billion, one hundred thirty-two million, one hundred twenty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 313 328 369 492 626 738 939 984 1252 1476 1878 2504 2817 2952 3756 5634 7512 11268 12833 22536 25666 38499 46681 51332 76998 93362 102664 115497 140043 153996 186724 230994 280086 307992 373448 420129 461988 560172 840258 923976 1120344 1680516 1913921 3361032 3827842 5741763 7655684 11483526 14611153 15311368 17225289 22967052 29222306 34450578 43833459 45934104 58444612 68901156 87666918 116889224 131500377 137802312 175333836 263000754 350667672 526001508 599057273 1052003016 1198114546 1797171819 2396229092 3594343638 4792458184 5391515457 7188687276 10783030914 14377374552 21566061828 43132123656