Search a number
-
+
43222838976 = 263479105541
BaseRepresentation
bin101000010000010010…
…000010111011000000
311010120021101201110000
4220100102002323000
51202010021321401
631504543240000
73060050032542
oct502022027300
9133507351400
1043222838976
1117370190729
1284632a9000
1340ca989785
14214061d692
1511ce8e7186
hexa10482ec0

43222838976 has 140 divisors (see below), whose sum is σ = 129749113120. Its totient is φ = 14225103360.

The previous prime is 43222838957. The next prime is 43222838977. The reversal of 43222838976 is 67983822234.

43222838976 is a `hidden beast` number, since 4 + 32 + 228 + 389 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (43222838977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 356766 + ... + 462306.

Almost surely, 243222838976 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 43222838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64874556560).

43222838976 is an abundant number, since it is smaller than the sum of its proper divisors (86526274144).

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

43222838976 is a wasteful number, since it uses less digits than its factorization.

43222838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105644 (or 105625 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 43222838976 in words is "forty-three billion, two hundred twenty-two million, eight hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 158 162 192 216 237 288 316 324 432 474 576 632 648 711 864 948 1264 1296 1422 1728 1896 2133 2528 2592 2844 3792 4266 5056 5184 5688 6399 7584 8532 11376 12798 15168 17064 22752 25596 34128 45504 51192 68256 102384 105541 136512 204768 211082 316623 409536 422164 633246 844328 949869 1266492 1688656 1899738 2532984 2849607 3377312 3799476 5065968 5699214 6754624 7598952 8337739 8548821 10131936 11398428 15197904 16675478 17097642 20263872 22796856 25013217 30395808 33350956 34195284 45593712 50026434 60791616 66701912 68390568 75039651 91187424 100052868 133403824 136781136 150079302 182374848 200105736 225118953 266807648 273562272 300158604 400211472 450237906 533615296 547124544 600317208 675356859 800422944 900475812 1200634416 1350713718 1600845888 1800951624 2401268832 2701427436 3601903248 4802537664 5402854872 7203806496 10805709744 14407612992 21611419488 43222838976