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2410313144412 = 2231934939077753
BaseRepresentation
bin100011000100110001110…
…110111101100001011100
322112102102212102020110110
4203010301312331201130
5303442310131110122
65043141011410020
7336065543454345
oct43046166754134
98472385366413
102410313144412
1184a231a2a228
1232b174bb3910
131463a3710814
148493460b0cc
1542a6eedc90c
hex23131dbd85c

2410313144412 has 96 divisors (see below), whose sum is σ = 5939315872000. Its totient is φ = 758678441472.

The previous prime is 2410313144273. The next prime is 2410313144453. The reversal of 2410313144412 is 2144413130142.

It is a happy number.

2410313144412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2410313144412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310883928 + ... + 310891680.

Almost surely, 22410313144412 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 2410313144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969657936000).

2410313144412 is an abundant number, since it is smaller than the sum of its proper divisors (3529002727588).

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

2410313144412 is a wasteful number, since it uses less digits than its factorization.

2410313144412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 2410313144412 its reverse (2144413130142), we get a palindrome (4554726274554).

The spelling of 2410313144412 in words is "two trillion, four hundred ten billion, three hundred thirteen million, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 349 698 1047 1396 2094 3907 4188 6631 7753 7814 11721 13262 15506 15628 19893 23259 23442 26524 31012 39786 46518 46884 74233 79572 93036 147307 148466 222699 294614 296932 441921 445398 589228 883842 890796 1363543 1767684 2705797 2727086 4090629 5411594 5454172 8117391 8181258 10823188 16234782 16362516 25907317 30290971 32469564 51410143 51814634 60581942 77721951 90872913 102820286 103629268 121163884 154230429 155443902 181745826 205640572 308460858 310887804 363491652 575528449 616921716 1151056898 1726585347 2302113796 3453170694 6906341388 10571548879 21143097758 31714646637 42286195516 63429293274 126858586548 200859428701 401718857402 602578286103 803437714804 1205156572206 2410313144412