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1023344052240 = 243540459105389
BaseRepresentation
bin11101110010001000000…
…11110000100000010000
310121211102121101011000110
432321010003300200100
5113231302034132430
62102041234321320
7133635263631246
oct16710403604020
93554377334013
101023344052240
11364aa8047954
121463b7a29240
137566870a8c3
143775c8d4796
151b945d877b0
hexee440f0810

1023344052240 has 80 divisors (see below), whose sum is σ = 3172475073600. Its totient is φ = 272882413056.

The previous prime is 1023344052221. The next prime is 1023344052259. The reversal of 1023344052240 is 422504433201.

It is an interprime number because it is at equal distance from previous prime (1023344052221) and next prime (1023344052259).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1023344052198 and 1023344052207.

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, 9657466 + ... + 9762854.

It is an arithmetic number, because the mean of its divisors is an integer number (39655938420).

Almost surely, 21023344052240 is an apocalyptic number.

1023344052240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023344052240 is an abundant number, since it is smaller than the sum of its proper divisors (2149131021360).

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

1023344052240 is a wasteful number, since it uses less digits than its factorization.

1023344052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145864 (or 145858 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1023344052240 its reverse (422504433201), we get a palindrome (1445848485441).

The spelling of 1023344052240 in words is "one trillion, twenty-three billion, three hundred forty-four million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 40459 80918 105389 121377 161836 202295 210778 242754 316167 323672 404590 421556 485508 526945 606885 632334 647344 809180 843112 971016 1053890 1213770 1264668 1580835 1618360 1686224 1942032 2107780 2427540 2529336 3161670 3236720 4215560 4855080 5058672 6323340 8431120 9710160 12646680 25293360 4263933551 8527867102 12791800653 17055734204 21319667755 25583601306 34111468408 42639335510 51167202612 63959003265 68222936816 85278671020 102334405224 127918006530 170557342040 204668810448 255836013060 341114684080 511672026120 1023344052240