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4040092712352 = 253537731027223
BaseRepresentation
bin111010110010101000010…
…010100111110110100000
3112022020012000012111212110
4322302220102213312200
51012143102213243402
612331554251555320
7564613156304244
oct72625022476640
915266160174773
104040092712352
111318437013894
12552bb6a5bb40
13233c9613c678
14dd781d62424
157015aba756c
hex3aca84a7da0

4040092712352 has 96 divisors (see below), whose sum is σ = 10819331284608. Its totient is φ = 1319577598976.

The previous prime is 4040092712351. The next prime is 4040092712387. The reversal of 4040092712352 is 2532172900404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4040092712352.

It is not an unprimeable number, because it can be changed into a prime (4040092712351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3419413 + ... + 4446635.

It is an arithmetic number, because the mean of its divisors is an integer number (112701367548).

Almost surely, 24040092712352 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 4040092712352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409665642304).

4040092712352 is an abundant number, since it is smaller than the sum of its proper divisors (6779238572256).

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

4040092712352 is a wasteful number, since it uses less digits than its factorization.

4040092712352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028062 (or 1028054 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 4040092712352 in words is "four trillion, forty billion, ninety-two million, seven hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 773 848 1272 1546 1696 2319 2544 3092 4638 5088 6184 9276 12368 18552 24736 37104 40969 74208 81938 122907 163876 245814 327752 491628 655504 983256 1027223 1311008 1966512 2054446 3081669 3933024 4108892 6163338 8217784 12326676 16435568 24653352 32871136 49306704 54442819 98613408 108885638 163328457 217771276 326656914 435542552 653313828 794043379 871085104 1306627656 1588086758 1742170208 2382130137 2613255312 3176173516 4764260274 5226510624 6352347032 9528520548 12704694064 19057041096 25409388128 38114082192 42084299087 76228164384 84168598174 126252897261 168337196348 252505794522 336674392696 505011589044 673348785392 1010023178088 1346697570784 2020046356176 4040092712352