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440424211240 = 235131997424121
BaseRepresentation
bin1100110100010110101…
…01000010001100101000
31120002210220212001220201
412122023111002030220
524203442044224430
6534154511201544
743551060012166
oct6321325021450
91502726761821
10440424211240
1115a867a92642
12714352162b4
13326bb55b370
1417460c38236
15b6ca7778ca
hex668b542328

440424211240 has 64 divisors (see below), whose sum is σ = 1067718652560. Its totient is φ = 162536355840.

The previous prime is 440424211237. The next prime is 440424211267. The reversal of 440424211240 is 42112424044.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15056762436 + 425367448804 = 122706^2 + 652202^2 .

It is a super-2 number, since 2×4404242112402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440424211199 and 440424211208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826380 + ... + 1250500.

Almost surely, 2440424211240 is an apocalyptic number.

440424211240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440424211240 is an abundant number, since it is smaller than the sum of its proper divisors (627294441320).

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

440424211240 is a wasteful number, since it uses less digits than its factorization.

440424211240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426142 (or 426138 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 440424211240 its reverse (42112424044), we get a palindrome (482536635284).

The spelling of 440424211240 in words is "four hundred forty billion, four hundred twenty-four million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1997 3994 7988 9985 15976 19970 25961 39940 51922 79880 103844 129805 207688 259610 424121 519220 848242 1038440 1696484 2120605 3392968 4241210 5513573 8482420 11027146 16964840 22054292 27567865 44108584 55135730 110271460 220542920 846969637 1693939274 3387878548 4234848185 6775757096 8469696370 11010605281 16939392740 22021210562 33878785480 44042421124 55053026405 88084842248 110106052810 220212105620 440424211240