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4014232440344 = 2371132699832399
BaseRepresentation
bin111010011010100010111…
…001100000111000011000
3112012202102202112120201022
4322122202321200320120
51011232122001042334
612312040220342012
7563006264520230
oct72324271407030
915182382476638
104014232440344
11130847661a765
12549b9a3a4908
1323170460c579
14dc40b640cc0
156e64570482e
hex3a6a2e60e18

4014232440344 has 128 divisors (see below), whose sum is σ = 8722805760000. Its totient is φ = 1696386177024.

The previous prime is 4014232440301. The next prime is 4014232440389. The reversal of 4014232440344 is 4430442324104.

It is a super-2 number, since 2×40142324403442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673292857 + ... + 1673295255.

It is an arithmetic number, because the mean of its divisors is an integer number (68146920000).

Almost surely, 24014232440344 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 4014232440344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361402880000).

4014232440344 is an abundant number, since it is smaller than the sum of its proper divisors (4708573319656).

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

4014232440344 is a wasteful number, since it uses less digits than its factorization.

4014232440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 4014232440344 its reverse (4430442324104), we get a palindrome (8444674764448).

The spelling of 4014232440344 in words is "four trillion, fourteen billion, two hundred thirty-two million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 269 452 538 791 904 983 1076 1582 1883 1966 2152 2399 3164 3766 3932 4798 6328 6881 7532 7864 9596 13762 15064 16793 19192 27524 30397 33586 55048 60794 67172 111079 121588 134344 212779 222158 243176 264427 271087 425558 444316 528854 542174 645331 777553 851116 888632 1057708 1084348 1290662 1555106 1702232 1850989 1897609 2115416 2168696 2358217 2581324 3110212 3701978 3795218 4517317 4716434 5162648 6220424 7403956 7590436 9034634 9432868 14807912 15180872 16507519 18069268 18865736 29880251 33015038 36138536 59760502 66030076 72922403 119521004 132060152 145844806 209161757 239042008 266478521 291689612 418323514 510456821 532957042 583379224 634360373 836647028 1020913642 1065914084 1268720746 1673294056 1865349647 2041827284 2131828168 2537441492 3730699294 4083654568 4440522611 5074882984 7461398588 8881045222 14922797176 17762090444 35524180888 71682722149 143365444298 286730888596 501779055043 573461777192 1003558110086 2007116220172 4014232440344