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2340424211104 = 257411731473047
BaseRepresentation
bin100010000011101100001…
…001110101101010100000
322021202001012001120110001
4202003230021311222200
5301321142044223404
64551102005145344
7331042615361320
oct42035411655240
98252035046401
102340424211104
118226284a8211
1231970b3bb254
1313c9162b2c05
14813c4667280
1540d2e51a7a4
hex220ec275aa0

2340424211104 has 96 divisors (see below), whose sum is σ = 5425577531136. Its totient is φ = 972917422080.

The previous prime is 2340424211033. The next prime is 2340424211149. The reversal of 2340424211104 is 4011124240432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852309 + ... + 2325355.

It is an arithmetic number, because the mean of its divisors is an integer number (56516432616).

Almost surely, 22340424211104 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 2340424211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712788765568).

2340424211104 is an abundant number, since it is smaller than the sum of its proper divisors (3085153320032).

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

2340424211104 is a wasteful number, since it uses less digits than its factorization.

2340424211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473278 (or 1473270 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2340424211104 its reverse (4011124240432), we get a palindrome (6351548451536).

The spelling of 2340424211104 in words is "two trillion, three hundred forty billion, four hundred twenty-four million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 173 224 287 328 346 574 656 692 1148 1211 1312 1384 2296 2422 2768 4592 4844 5536 7093 9184 9688 14186 19376 28372 38752 49651 56744 99302 113488 198604 226976 397208 794416 1473047 1588832 2946094 5892188 10311329 11784376 20622658 23568752 41245316 47137504 60394927 82490632 120789854 164981264 241579708 254837131 329962528 422764489 483159416 509674262 845528978 966318832 1019348524 1691057956 1783859917 1932637664 2038697048 3382115912 3567719834 4077394096 6764231824 7135439668 8154788192 10448322371 13528463648 14270879336 20896644742 28541758672 41793289484 57083517344 73138256597 83586578968 146276513194 167173157936 292553026388 334346315872 585106052776 1170212105552 2340424211104