Search a number
-
+
440132344432 = 24112271838897
BaseRepresentation
bin1100110011110011110…
…11101001101001110000
31120002001120122200220221
412121321323221221300
524202342340010212
6534105523342424
743540614125434
oct6317173515160
91502046580827
10440132344432
1115a728263800
1271373521a14
1332672c4a501
14174341809c4
15b6aed23807
hex6679ee9a70

440132344432 has 60 divisors (see below), whose sum is σ = 940787195488. Its totient is φ = 199321689600.

The previous prime is 440132344409. The next prime is 440132344501. The reversal of 440132344432 is 234443231044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105208 + ... + 944104.

Almost surely, 2440132344432 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 440132344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470393597744).

440132344432 is an abundant number, since it is smaller than the sum of its proper divisors (500654851056).

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

440132344432 is a wasteful number, since it uses less digits than its factorization.

440132344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839198 (or 839181 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 440132344432 its reverse (234443231044), we get a palindrome (674575575476).

The spelling of 440132344432 in words is "four hundred forty billion, one hundred thirty-two million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 271 484 542 968 1084 1936 2168 2981 4336 5962 11924 23848 32791 47696 65582 131164 262328 524656 838897 1677794 3355588 6711176 9227867 13422352 18455734 36911468 73822936 101506537 147645872 203013074 227341087 406026148 454682174 812052296 909364348 1624104592 1818728696 2500751957 3637457392 5001503914 10003007828 20006015656 27508271527 40012031312 55016543054 110033086108 220066172216 440132344432