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2340030123444 = 2231359340774623
BaseRepresentation
bin100010000011010100101…
…010100000110110110100
322021201000201111211210210
4202003110222200312310
5301314340202422234
64550554530345420
7331030061602566
oct42032452406664
98251021454723
102340030123444
11822446000332
1231961b42b270
1313c882761750
14813881a1336
1540d09b23be9
hex220d4aa0db4

2340030123444 has 96 divisors (see below), whose sum is σ = 5981573283840. Its totient is φ = 707588489088.

The previous prime is 2340030123443. The next prime is 2340030123451. The reversal of 2340030123444 is 4443210300432.

It is a happy number.

It is a super-2 number, since 2×23400301234442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340030123443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31320717 + ... + 31395339.

It is an arithmetic number, because the mean of its divisors is an integer number (62308055040).

Almost surely, 22340030123444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340030123444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990786641920).

2340030123444 is an abundant number, since it is smaller than the sum of its proper divisors (3641543160396).

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

2340030123444 is a wasteful number, since it uses less digits than its factorization.

2340030123444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78109 (or 78107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2340030123444 its reverse (4443210300432), we get a palindrome (6783240423876).

The spelling of 2340030123444 in words is "two trillion, three hundred forty billion, thirty million, one hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2301 3068 3407 4602 6814 9204 10221 13628 20442 40884 44291 74623 88582 132873 149246 177164 201013 223869 265746 298492 402026 447738 531492 603039 804052 895476 970099 1206078 1940198 2412156 2613169 2910297 3880396 4402757 5226338 5820594 7839507 8805514 10452676 11641188 13208271 15679014 17611028 26416542 31358028 52833084 57235841 114471682 171707523 228943364 254240561 343415046 508481122 686830092 762721683 1016962244 1525443366 3050886732 3305127293 6610254586 9915381879 13220509172 15000193099 19830763758 30000386198 39661527516 45000579297 60000772396 90001158594 180002317188 195002510287 390005020574 585007530861 780010041148 1170015061722 2340030123444