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1040440320520 = 235891678871973
BaseRepresentation
bin11110010001111110001…
…00110110001000001000
310200110120002000120011221
433020333010312020020
5114021310210224040
62113545514531424
7135112036543066
oct17107704661010
93613502016157
101040440320520
11371280489297
12149789436b74
1377161639093
14385012b3036
151c0e6c2874a
hexf23f136208

1040440320520 has 128 divisors (see below), whose sum is σ = 2385362649600. Its totient is φ = 408367691776.

The previous prime is 1040440320467. The next prime is 1040440320523. The reversal of 1040440320520 is 250230440401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1040440320523) 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, 527338254 + ... + 527340226.

It is an arithmetic number, because the mean of its divisors is an integer number (18635645700).

Almost surely, 21040440320520 is an apocalyptic number.

1040440320520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040440320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192681324800).

1040440320520 is an abundant number, since it is smaller than the sum of its proper divisors (1344922329080).

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

1040440320520 is a wasteful number, since it uses less digits than its factorization.

1040440320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1040440320520 its reverse (250230440401), we get a palindrome (1290670760921).

The spelling of 1040440320520 in words is "one trillion, forty billion, four hundred forty million, three hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 167 178 334 356 445 668 712 835 887 890 1336 1670 1774 1780 1973 3340 3548 3560 3946 4435 6680 7096 7892 8870 9865 14863 15784 17740 19730 29726 35480 39460 59452 74315 78920 78943 118904 148129 148630 157886 175597 296258 297260 315772 329491 351194 394715 592516 594520 631544 658982 702388 740645 789430 877985 1185032 1317964 1404776 1481290 1578860 1647455 1750051 1755970 2635928 2962580 3157720 3294910 3500102 3511940 5925160 6589820 7000204 7023880 8750255 13179640 13183481 14000408 17500510 26366962 29324699 35001020 52733924 58649398 65917405 70002040 105467848 117298796 131834810 146623495 155754539 234597592 263669620 292258517 293246990 311509078 527339240 584517034 586493980 623018156 778772695 1169034068 1172987960 1246036312 1461292585 1557545390 2338068136 2922585170 3115090780 5845170340 6230181560 11690340680 26011008013 52022016026 104044032052 130055040065 208088064104 260110080130 520220160260 1040440320520