Search a number
-
+
2614542242144 = 25714447807923
BaseRepresentation
bin100110000010111110110…
…111001001000101100000
3100020221120221111100102012
4212002332313021011200
5320314040303222034
65321034254012052
7356615536242350
oct46027667110540
910227527440365
102614542242144
11918903a31118
12362870aa7028
1315c71cc55a91
149078a23ab60
154802488ccce
hex260bedc9160

2614542242144 has 48 divisors (see below), whose sum is σ = 5883134519808. Its totient is φ = 1120439156352.

The previous prime is 2614542242119. The next prime is 2614542242149. The reversal of 2614542242144 is 4412422454162.

It is a super-2 number, since 2×26145422421442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2614542242149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2832167 + ... + 3640089.

It is an arithmetic number, because the mean of its divisors is an integer number (122565302496).

Almost surely, 22614542242144 is an apocalyptic number.

It is an amenable number.

2614542242144 is an abundant number, since it is smaller than the sum of its proper divisors (3268592277664).

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

2614542242144 is a wasteful number, since it uses less digits than its factorization.

2614542242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822387 (or 822379 counting only the distinct ones).

The product of its digits is 491520, while the sum is 41.

The spelling of 2614542242144 in words is "two trillion, six hundred fourteen billion, five hundred forty-two million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 14447 28894 57788 101129 115576 202258 231152 404516 462304 807923 809032 1615846 1618064 3231692 3236128 5655461 6463384 11310922 12926768 22621844 25853536 45243688 90487376 180974752 11672063581 23344127162 46688254324 81704445067 93376508648 163408890134 186753017296 326817780268 373506034592 653635560536 1307271121072 2614542242144