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2614144253556 = 2231149140334263
BaseRepresentation
bin100110000010100111001…
…000111011111001110100
3100020220120012121102201010
4212002213020323321310
5320312231412103211
65320530555432220
7356602634345643
oct46024710737164
910226505542633
102614144253556
1191871a30a430
1236277b755670
1315c688669b84
149074d43b35a
1547eee9754a6
hex260a723be74

2614144253556 has 48 divisors (see below), whose sum is σ = 6667737850368. Its totient is φ = 790551535200.

The previous prime is 2614144253503. The next prime is 2614144253557. The reversal of 2614144253556 is 6553524414162.

2614144253556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2614144253557) 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, 20102320 + ... + 20231943.

It is an arithmetic number, because the mean of its divisors is an integer number (138911205216).

Almost surely, 22614144253556 is an apocalyptic number.

It is an amenable number.

2614144253556 is an abundant number, since it is smaller than the sum of its proper divisors (4053593596812).

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

2614144253556 is a wasteful number, since it uses less digits than its factorization.

2614144253556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40334772 (or 40334770 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 2614144253556 in words is "two trillion, six hundred fourteen billion, one hundred forty-four million, two hundred fifty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 491 982 1473 1964 2946 5401 5892 10802 16203 21604 32406 64812 40334263 80668526 121002789 161337052 242005578 443676893 484011156 887353786 1331030679 1774707572 2662061358 5324122716 19804123133 39608246266 59412369399 79216492532 118824738798 217845354463 237649477596 435690708926 653536063389 871381417852 1307072126778 2614144253556