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2440334444432 = 242343479733827
BaseRepresentation
bin100011100000101111010…
…001001000011110010000
322122021221002210021222012
4203200233101020132100
5304440301104210212
65105024004202052
7341210522345363
oct43405721103620
98567832707865
102440334444432
11860a381a1285
12334b53099328
13149179322981
14861817dc0da
154372a922922
hex2382f448790

2440334444432 has 160 divisors (see below), whose sum is σ = 5209178591232. Its totient is φ = 1104184553472.

The previous prime is 2440334444399. The next prime is 2440334444437. The reversal of 2440334444432 is 2344444330442.

It is a self number, because there is not a number n which added to its sum of digits gives 2440334444432.

It is not an unprimeable number, because it can be changed into a prime (2440334444437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72124703 + ... + 72158529.

Almost surely, 22440334444432 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 2440334444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604589295616).

2440334444432 is an abundant number, since it is smaller than the sum of its proper divisors (2768844146800).

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

2440334444432 is a wasteful number, since it uses less digits than its factorization.

2440334444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34045 (or 34039 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 41.

Adding to 2440334444432 its reverse (2344444330442), we get a palindrome (4784778774874).

The spelling of 2440334444432 in words is "two trillion, four hundred forty billion, three hundred thirty-four million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 43 46 47 86 92 94 97 172 184 188 194 344 368 376 388 688 752 776 989 1081 1552 1978 2021 2162 2231 3956 4042 4171 4324 4462 4559 7912 8084 8342 8648 8924 9118 15824 16168 16684 17296 17848 18236 32336 33368 33827 35696 36472 46483 66736 67654 72944 92966 95933 104857 135308 185932 191866 196037 209714 270616 371864 383732 392074 419428 541232 743728 767464 778021 784148 838856 1454561 1534928 1556042 1568296 1589869 1677712 2909122 3112084 3136592 3179738 3281219 4508851 5818244 6224168 6359476 6562438 9017702 11636488 12448336 12718952 13124876 18035404 23272976 25437904 26249752 33454903 36070808 36566987 52499504 66909806 68364367 72141616 73133974 75468037 133819612 136728734 141092417 146267948 150936074 154217293 267639224 273457468 282184834 292535896 301872148 308434586 535278448 546914936 564369668 585071792 603744296 616869172 1093829872 1128739336 1207488592 1233738344 1572380441 2257478672 2467476688 3144760882 3245125591 3546997739 6289521764 6490251182 6631343599 7093995478 12579043528 12980502364 13262687198 14187990956 25158087056 25961004728 26525374396 28375981912 51922009456 53050748792 56751963824 106101497584 152520902777 305041805554 610083611108 1220167222216 2440334444432