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2303144340440 = 2352916342128933
BaseRepresentation
bin100001100000111110000…
…110011010101111011000
322011011211002101220220112
4201200332012122233120
5300213314422343230
64522014440143452
7325253030611616
oct41407606325730
98134732356815
102303144340440
11808837a34649
12312446467b88
13139254944348
147d68944c6b6
153ed9b742d95
hex2183e19abd8

2303144340440 has 128 divisors (see below), whose sum is σ = 5406653534400. Its totient is φ = 881902909440.

The previous prime is 2303144340403. The next prime is 2303144340443. The reversal of 2303144340440 is 440434413032.

It is a super-3 number, since 3×23031443404403 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2303144340397 and 2303144340406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303144340443) 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, 79588214 + ... + 79617146.

Almost surely, 22303144340440 is an apocalyptic number.

2303144340440 is a gapful number since it is divisible by the number (20) 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 2303144340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703326767200).

2303144340440 is an abundant number, since it is smaller than the sum of its proper divisors (3103509193960).

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

2303144340440 is a wasteful number, since it uses less digits than its factorization.

2303144340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29557 (or 29553 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2303144340440 its reverse (440434413032), we get a palindrome (2743578753472).

It can be divided in two parts, 230314 and 4340440, that added together give a palindrome (4570754).

The spelling of 2303144340440 in words is "two trillion, three hundred three billion, one hundred forty-four million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 163 232 290 326 421 580 652 815 842 1160 1304 1630 1684 2105 3260 3368 4210 4727 6520 8420 9454 12209 16840 18908 23635 24418 28933 37816 47270 48836 57866 61045 68623 94540 97672 115732 122090 137246 144665 189080 231464 244180 274492 289330 343115 488360 548984 578660 686230 839057 1157320 1372460 1678114 1990067 2744920 3356228 3980134 4195285 4716079 6712456 7960268 8390570 9432158 9950335 12180793 15920536 16781140 18864316 19900670 23580395 24361586 33562280 37728632 39801340 47160790 48723172 60903965 79602680 94321580 97446344 121807930 136766291 188643160 243615860 273532582 353242997 487231720 547065164 683831455 706485994 1094130328 1367662910 1412971988 1766214985 1985469259 2735325820 2825943976 3532429970 3970938518 5470651640 7064859940 7941877036 9927346295 14129719880 15883754072 19854692590 39709385180 57578608511 79418770360 115157217022 230314434044 287893042555 460628868088 575786085110 1151572170220 2303144340440