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2416243302340 = 2257612511127221
BaseRepresentation
bin100011001010010011010…
…100101101111111000100
322112222202011001110211021
4203022103110231333010
5304041431241133330
65050001251320524
7336365522124460
oct43122324557704
98488664043737
102416243302340
118517a539769a
1233034abb0144
13146b0a1948ca
1484d380394a0
1542cba92b67a
hex2329352dfc4

2416243302340 has 96 divisors (see below), whose sum is σ = 5917536753408. Its totient is φ = 811598400000.

The previous prime is 2416243302307. The next prime is 2416243302373. The reversal of 2416243302340 is 432033426142.

2416243302340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2416243302307) and next prime (2416243302373).

It is a super-2 number, since 2×24162433023402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2416243302296 and 2416243302305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579930 + ... + 2707150.

It is an arithmetic number, because the mean of its divisors is an integer number (61641007848).

Almost surely, 22416243302340 is an apocalyptic number.

2416243302340 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 2416243302340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958768376704).

2416243302340 is an abundant number, since it is smaller than the sum of its proper divisors (3501293451068).

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

2416243302340 is a wasteful number, since it uses less digits than its factorization.

2416243302340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127549 (or 1127547 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 2416243302340 its reverse (432033426142), we get a palindrome (2848276728482).

The spelling of 2416243302340 in words is "two trillion, four hundred sixteen billion, two hundred forty-three million, three hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 251 305 427 502 610 854 1004 1220 1255 1708 1757 2135 2510 3514 4270 5020 7028 8540 8785 15311 17570 30622 35140 61244 76555 107177 153110 214354 306220 428708 535885 1071770 1127221 2143540 2254442 4508884 5636105 7890547 11272210 15781094 22544420 31562188 39452735 68760481 78905470 137520962 157810940 275041924 282932471 343802405 481323367 565864942 687604810 962646734 1131729884 1375209620 1414662355 1925293468 1980527297 2406616835 2829324710 3961054594 4813233670 5658649420 7922109188 9626467340 9902636485 17258880731 19805272970 34517761462 39610545940 69035522924 86294403655 120812165117 172588807310 241624330234 345177614620 483248660468 604060825585 1208121651170 2416243302340