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1040311331320 = 235611447294649
BaseRepresentation
bin11110010001101110110…
…00110010100111111000
310200110020002022020021011
433020313120302213320
5114021024200100240
62113525030123304
7135105612262222
oct17106730624770
93613202266234
101040311331320
11371214697848
121497521b0534
13771409b5701
14384cc0d7412
151c0da7496ea
hexf2376329f8

1040311331320 has 64 divisors (see below), whose sum is σ = 2380724856000. Its totient is φ = 409018567680.

The previous prime is 1040311331249. The next prime is 1040311331329. The reversal of 1040311331320 is 231331130401.

It is a junction number, because it is equal to n+sod(n) for n = 1040311331291 and 1040311331300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040311331329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3383356 + ... + 3678004.

It is an arithmetic number, because the mean of its divisors is an integer number (37198825875).

Almost surely, 21040311331320 is an apocalyptic number.

1040311331320 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 1040311331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190362428000).

1040311331320 is an abundant number, since it is smaller than the sum of its proper divisors (1340413524680).

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

1040311331320 is a wasteful number, since it uses less digits than its factorization.

1040311331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296168 (or 296164 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1040311331320 its reverse (231331130401), we get a palindrome (1271642461721).

The spelling of 1040311331320 in words is "one trillion, forty billion, three hundred eleven million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 1447 2440 2894 5788 7235 11576 14470 28940 57880 88267 176534 294649 353068 441335 589298 706136 882670 1178596 1473245 1765340 2357192 2946490 3530680 5892980 11785960 17973589 35947178 71894356 89867945 143788712 179735890 359471780 426357103 718943560 852714206 1705428412 2131785515 3410856824 4263571030 8527142060 17054284120 26007783283 52015566566 104031133132 130038916415 208062266264 260077832830 520155665660 1040311331320