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43214412132 = 223223417117929
BaseRepresentation
bin101000001111110001…
…111001100101100100
311010112200112120222200
4220033301321211210
51202000342142012
631504042454500
73056615304513
oct501761714544
9133480476880
1043214412132
11173664554a1
128460504430
1340c8cc8c88
14213d46867a
1511cdcd03dc
hexa0fc79964

43214412132 has 144 divisors (see below), whose sum is σ = 118417178880. Its totient is φ = 13252377600.

The previous prime is 43214412107. The next prime is 43214412133. The reversal of 43214412132 is 23121441234.

43214412132 is a `hidden beast` number, since 4 + 3 + 2 + 1 + 441 + 213 + 2 = 666.

43214412132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 43214412096 and 43214412105.

It is not an unprimeable number, because it can be changed into a prime (43214412133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2401344 + ... + 2419272.

It is an arithmetic number, because the mean of its divisors is an integer number (822341520).

Almost surely, 243214412132 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 43214412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59208589440).

43214412132 is an abundant number, since it is smaller than the sum of its proper divisors (75202766748).

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

43214412132 is a wasteful number, since it uses less digits than its factorization.

43214412132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18074 (or 18069 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 43214412132 its reverse (23121441234), we get a palindrome (66335853366).

The spelling of 43214412132 in words is "forty-three billion, two hundred fourteen million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 71 82 92 123 138 142 164 207 213 246 276 284 369 414 426 492 639 738 828 852 943 1278 1476 1633 1886 2556 2829 2911 3266 3772 4899 5658 5822 6532 8487 8733 9798 11316 11644 14697 16974 17466 17929 19596 26199 29394 33948 34932 35858 52398 53787 58788 66953 71716 104796 107574 133906 161361 200859 215148 267812 322722 401718 412367 602577 645444 735089 803436 824734 1205154 1237101 1272959 1470178 1649468 2205267 2410308 2474202 2545918 2940356 3711303 3818877 4410534 4948404 5091836 6615801 7422606 7637754 8821068 11456631 13231602 14845212 15275508 16907047 22913262 26463204 29278057 33814094 45826524 50721141 52191319 58556114 67628188 87834171 101442282 104382638 117112228 152163423 156573957 175668342 202884564 208765276 263502513 304326846 313147914 351336684 469721871 527005026 608653692 626295828 939443742 1054010052 1200400337 1878887484 2400800674 3601201011 4801601348 7202402022 10803603033 14404804044 21607206066 43214412132