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3303475432144 = 2429199263136033
BaseRepresentation
bin110000000100100110011…
…110101100101011010000
3102200210211212211112211021
4300010212132230223100
5413111004202312034
611005332355125224
7460445125603606
oct60044636545320
912623755745737
103303475432144
111063aa583a648
1245429b2a3814
131ac6936a5824
14b5c6383d876
155ade70aa6b4
hex301267acad0

3303475432144 has 80 divisors (see below), whose sum is σ = 6679813536000. Its totient is φ = 1580722311168.

The previous prime is 3303475432139. The next prime is 3303475432151. The reversal of 3303475432144 is 4412345743033.

It is a self number, because there is not a number n which added to its sum of digits gives 3303475432144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24216352 + ... + 24352384.

It is an arithmetic number, because the mean of its divisors is an integer number (83497669200).

Almost surely, 23303475432144 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 3303475432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339906768000).

3303475432144 is an abundant number, since it is smaller than the sum of its proper divisors (3376338103856).

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

3303475432144 is a wasteful number, since it uses less digits than its factorization.

3303475432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136532 (or 136526 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 43.

The spelling of 3303475432144 in words is "three trillion, three hundred three billion, four hundred seventy-five million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 199 232 263 398 464 526 796 1052 1592 2104 3184 4208 5771 7627 11542 15254 23084 30508 46168 52337 61016 92336 104674 122032 136033 209348 272066 418696 544132 837392 1088264 1517773 2176528 3035546 3944957 6071092 7889914 12142184 15779828 24284368 27070567 31559656 35776679 54141134 63119312 71553358 108282268 143106716 216564536 286213432 433129072 572426864 785046443 1037523691 1570092886 2075047382 3140185772 4150094764 6280371544 7119559121 8300189528 12560743088 14239118242 16600379056 28478236484 56956472968 113912945936 206467214509 412934429018 825868858036 1651737716072 3303475432144