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323023040114240 = 2653727282351361
BaseRepresentation
bin100100101110010011010100…
…1100011110110111001000000
31120100201200221001201102221102
41021130212221203312321000
5314314402141232123430
63103002422551313532
7125016434030510564
oct11134465143667100
91510650831642842
10323023040114240
1193a1a335a51064
123029004267b8a8
1310b31c326b142b
1459aa58191b6a4
152752885a1e345
hex125c9a98f6e40

323023040114240 has 56 divisors (see below), whose sum is σ = 789987766038072. Its totient is φ = 125717075066880.

The previous prime is 323023040114233. The next prime is 323023040114251. The reversal of 323023040114240 is 42411040320323.

It can be written as a sum of positive squares in 4 ways, for example, as 104368617481216 + 218654422633024 = 10216096^2 + 14786968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13641163841 + ... + 13641187520.

It is an arithmetic number, because the mean of its divisors is an integer number (14106924393537).

Almost surely, 2323023040114240 is an apocalyptic number.

It is an amenable number.

323023040114240 is an abundant number, since it is smaller than the sum of its proper divisors (466964725923832).

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

323023040114240 is a wasteful number, since it uses less digits than its factorization.

323023040114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27282351415 (or 27282351405 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 323023040114240 its reverse (42411040320323), we get a palindrome (365434080434563).

The spelling of 323023040114240 in words is "three hundred twenty-three trillion, twenty-three billion, forty million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 11840 27282351361 54564702722 109129405444 136411756805 218258810888 272823513610 436517621776 545647027220 873035243552 1009447000357 1091294054440 1746070487104 2018894000714 2182588108880 4037788001428 4365176217760 5047235001785 8075576002856 8730352435520 10094470003570 16151152005712 20188940007140 32302304011424 40377880014280 64604608022848 80755760028560 161511520057120 323023040114240