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440320334132 = 227219139850637
BaseRepresentation
bin1100110100001010010…
…00110001100100110100
31120002112200101120022102
412122011020301210310
524203234001143012
6534140320521232
743545356041400
oct6320510614464
91502480346272
10440320334132
1115a814393198
1271406480218
13326a2b8ac13
1417451118100
15b6c15a92c2
hex6685231934

440320334132 has 72 divisors (see below), whose sum is σ = 950332773600. Its totient is φ = 177490305216.

The previous prime is 440320334107. The next prime is 440320334147. The reversal of 440320334132 is 231433023044.

It is a super-2 number, since 2×4403203341322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440320334095 and 440320334104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92318 + ... + 942954.

It is an arithmetic number, because the mean of its divisors is an integer number (13199066300).

Almost surely, 2440320334132 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 440320334132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475166386800).

440320334132 is an abundant number, since it is smaller than the sum of its proper divisors (510012439468).

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

440320334132 is a wasteful number, since it uses less digits than its factorization.

440320334132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850813 (or 850804 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 440320334132 its reverse (231433023044), we get a palindrome (671753357176).

The spelling of 440320334132 in words is "four hundred forty billion, three hundred twenty million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 139 196 266 278 532 556 931 973 1862 1946 2641 3724 3892 5282 6811 10564 13622 18487 27244 36974 73948 129409 258818 517636 850637 1701274 3402548 5954459 11908918 16162103 23817836 32324206 41681213 64648412 83362426 113134721 118238543 166724852 226269442 236477086 452538884 472954172 791943047 827669801 1583886094 1655339602 2246532317 3167772188 3310679204 4493064634 5793688607 8986129268 11587377214 15725726219 23174754428 31451452438 62902904876 110080083533 220160167066 440320334132