Search a number
-
+
2440554343032 = 2331359300144179
BaseRepresentation
bin100011100000111100010…
…111111110101001111000
322122022111102120022010210
4203200330113332221320
5304441223402434112
65105101501311120
7341216132430231
oct43407427765170
98568442508123
102440554343032
11861040335363
12334bb48654a0
131491b2a561a0
14861a2ac0088
154373edacb3c
hex2383c5fea78

2440554343032 has 128 divisors (see below), whose sum is σ = 6684469344000. Its totient is φ = 737949312000.

The previous prime is 2440554343021. The next prime is 2440554343103. The reversal of 2440554343032 is 2303434550442.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55220319 + ... + 55264497.

It is an arithmetic number, because the mean of its divisors is an integer number (52222416750).

Almost surely, 22440554343032 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 2440554343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342234672000).

2440554343032 is an abundant number, since it is smaller than the sum of its proper divisors (4243915000968).

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

2440554343032 is a wasteful number, since it uses less digits than its factorization.

2440554343032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47261 (or 47257 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 39.

Adding to 2440554343032 its reverse (2303434550442), we get a palindrome (4743988893474).

The spelling of 2440554343032 in words is "two trillion, four hundred forty billion, five hundred fifty-four million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 1416 1534 2301 3001 3068 4602 6002 6136 9003 9204 12004 18006 18408 24008 36012 39013 44179 72024 78026 88358 117039 132537 156052 176716 177059 234078 265074 312104 353432 354118 468156 530148 531177 574327 708236 936312 1060296 1062354 1148654 1416472 1722981 2124708 2297308 2301767 2606561 3445962 4249416 4594616 4603534 5213122 6891924 6905301 7819683 9207068 10426244 13783848 13810602 15639366 18414136 20852488 27621204 31278732 33885293 55242408 62557464 67770586 101655879 132581179 135541172 203311758 265162358 271082344 397743537 406623516 530324716 795487074 813247032 1060649432 1590974148 1723555327 3181948296 3447110654 5170665981 6894221308 7822289561 10341331962 13788442616 15644579122 20682663924 23466868683 31289158244 41365327848 46933737366 62578316488 93867474732 101689764293 187734949464 203379528586 305069292879 406759057172 610138585758 813518114344 1220277171516 2440554343032