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3331143004 = 2271937229739
BaseRepresentation
bin1100011010001101…
…0011010101011100
322121011010121010211
43012203103111130
523310233034004
61310313542204
7145356151120
oct30643232534
98534117124
103331143004
11145a386052
1278b714964
13411197647
142385a5580
151476a5504
hexc68d355c

3331143004 has 96 divisors (see below), whose sum is σ = 7243712000. Its totient is φ = 1308420864.

The previous prime is 3331142987. The next prime is 3331143007. The reversal of 3331143004 is 4003411333.

It is a happy number.

3331143004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33311430042 = 22193027426196288032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331143007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4507267 + ... + 4508005.

Almost surely, 23331143004 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 3331143004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621856000).

3331143004 is an abundant number, since it is smaller than the sum of its proper divisors (3912568996).

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

3331143004 is a wasteful number, since it uses less digits than its factorization.

3331143004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3331143004 is about 57716.0549933898. The cubic root of 3331143004 is about 1493.4743187514.

Adding to 3331143004 its reverse (4003411333), we get a palindrome (7334554337).

The spelling of 3331143004 in words is "three billion, three hundred thirty-one million, one hundred forty-three thousand, four".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 229 259 266 458 518 532 703 739 916 1036 1406 1478 1603 2812 2956 3206 4351 4921 5173 6412 8473 8702 9842 10346 14041 16946 17404 19684 20692 27343 28082 30457 33892 54686 56164 59311 60914 98287 109372 118622 121828 160987 169231 191401 196574 237244 321974 338462 382802 393148 519517 643948 676924 765604 1039034 1126909 1184617 2078068 2253818 2369234 3215389 3636619 4507636 4738468 6261547 6430778 7273238 12523094 12861556 14546476 22507723 25046188 43830829 45015446 87661658 90030892 118969393 175323316 237938786 475877572 832785751 1665571502 3331143004