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400124231444 = 227192513897703
BaseRepresentation
bin1011101001010010100…
…00110011111100010100
31102020210100022222111102
411310221100303330110
523023423300401234
6503451534525232
740623310564550
oct5645120637424
91366710288442
10400124231444
11144767774313
1265668966818
132b9682b7282
141551a8a0860
15a61c787c7e
hex5d29433f14

400124231444 has 96 divisors (see below), whose sum is σ = 848007014400. Its totient is φ = 161372304000.

The previous prime is 400124231443. The next prime is 400124231471. The reversal of 400124231444 is 444132421004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400124231443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51940097 + ... + 51947799.

It is an arithmetic number, because the mean of its divisors is an integer number (8833406400).

Almost surely, 2400124231444 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 400124231444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424003507200).

400124231444 is an abundant number, since it is smaller than the sum of its proper divisors (447882782956).

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

400124231444 is a wasteful number, since it uses less digits than its factorization.

400124231444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 400124231444 its reverse (444132421004), we get a palindrome (844256652448).

The spelling of 400124231444 in words is "four hundred billion, one hundred twenty-four million, two hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 251 266 389 502 532 778 1004 1556 1757 2723 3514 4769 5446 7028 7391 7703 9538 10892 14782 15406 19076 29564 30812 33383 51737 53921 66766 97639 103474 107842 133532 146357 195278 206948 215684 292714 390556 585428 683473 1024499 1366946 1855141 1933453 2048998 2733892 2996467 3710282 3866906 4097996 5992934 7420564 7733812 11985868 12985987 13534171 20975269 25971974 27068342 36735607 41950538 51943948 54136684 56932873 73471214 83901076 113865746 146942428 227731492 257149249 398530111 514298498 752113217 797060222 1028596996 1504226434 1594120444 3008452868 5264792519 10529585038 14290151123 21059170076 28580302246 57160604492 100031057861 200062115722 400124231444