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3442140023224 = 237229382936151
BaseRepresentation
bin110010000101101111100…
…010001000100110111000
3110012001202122201121220211
4302011233202020212320
5422344000321220344
611153144114400504
7503454303305500
oct62055742104670
913161678647824
103442140023224
111107892341251
12477139890134
131bc7916b2916
14bc859970a00
155e810945334
hex3216f8889b8

3442140023224 has 96 divisors (see below), whose sum is σ = 7542648439200. Its totient is φ = 1468354003200.

The previous prime is 3442140023219. The next prime is 3442140023261. The reversal of 3442140023224 is 4223200412443.

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 23 ways as a sum of consecutive naturals, for example, 95197549 + ... + 95233699.

It is an arithmetic number, because the mean of its divisors is an integer number (78569254575).

Almost surely, 23442140023224 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 3442140023224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771324219600).

3442140023224 is an abundant number, since it is smaller than the sum of its proper divisors (4100508415976).

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

3442140023224 is a wasteful number, since it uses less digits than its factorization.

3442140023224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37293 (or 37282 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 3442140023224 its reverse (4223200412443), we get a palindrome (7665340435667).

The spelling of 3442140023224 in words is "three trillion, four hundred forty-two billion, one hundred forty million, twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 293 392 586 829 1172 1658 2051 2344 3316 4102 5803 6632 8204 11606 14357 16408 23212 28714 36151 40621 46424 57428 72302 81242 114856 144604 162484 242897 253057 289208 324968 485794 506114 971588 1012228 1700279 1771399 1943176 2024456 3400558 3542798 6801116 7085596 10592243 11901953 13602232 14171192 21184486 23803906 29969179 42368972 47607812 59938358 74145701 84737944 95215624 119876716 148291402 209784253 239753432 296582804 419568506 519019907 593165608 839137012 1038039814 1468489771 1678274024 2076079628 2936979542 4152159256 5873959084 8780969447 11747918168 17561938894 35123877788 61466786129 70247755576 122933572258 245867144516 430267502903 491734289032 860535005806 1721070011612 3442140023224