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440454454044 = 2231117792484569
BaseRepresentation
bin1100110100011010010…
…00011001101100011100
31120002220000202120020120
412122031020121230130
524204022320012134
6534201511314540
743551605041503
oct6321510315434
91502800676216
10440454454044
1115a8830694a0
127144337ba50
13326c48b9a07
1417464c6b83a
15b6cd24d649
hex668d219b1c

440454454044 has 96 divisors (see below), whose sum is σ = 1202134348800. Its totient is φ = 124029634560.

The previous prime is 440454454043. The next prime is 440454454073.

440454454044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 440454453987 and 440454454005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440454454043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065009 + ... + 1419560.

It is an arithmetic number, because the mean of its divisors is an integer number (12522232800).

Almost surely, 2440454454044 is an apocalyptic number.

440454454044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440454454044 is an abundant number, since it is smaller than the sum of its proper divisors (761679894756).

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

440454454044 is a wasteful number, since it uses less digits than its factorization.

440454454044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484683 (or 2484681 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 42.

It can be divided in two parts, 440454 and 454044, that added together give a palindrome (894498).

The spelling of 440454454044 in words is "four hundred forty billion, four hundred fifty-four million, four hundred fifty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 79 102 132 158 187 204 237 316 374 474 561 748 869 948 1122 1343 1738 2244 2607 2686 3476 4029 5214 5372 8058 10428 14773 16116 29546 44319 59092 88638 177276 2484569 4969138 7453707 9938276 14907414 27330259 29814828 42237673 54660518 81990777 84475346 109321036 126713019 163981554 168950692 196280951 253426038 327963108 392561902 464614403 506852076 588842853 785123804 929228806 1177685706 1393843209 1858457612 2159090461 2355371412 2787686418 3336776167 4318180922 5575372836 6477271383 6673552334 8636361844 10010328501 12954542766 13347104668 20020657002 25909085532 36704537837 40041314004 73409075674 110113613511 146818151348 220227227022 440454454044