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13434252744 = 23311376592087
BaseRepresentation
bin11001000001011111…
…00110110111001000
31021200020220202020110
430200233212313020
5210003132041434
610101022354320
7653625156423
oct144057466710
937606822213
1013434252744
115774315a20
12272b12b9a0
131361346ba3
149162c89ba
1553962e4e9
hex320be6dc8

13434252744 has 128 divisors (see below), whose sum is σ = 37704268800. Its totient is φ = 3953053440.

The previous prime is 13434252731. The next prime is 13434252787. The reversal of 13434252744 is 44725243431.

13434252744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 6436069 + ... + 6438155.

It is an arithmetic number, because the mean of its divisors is an integer number (294564600).

Almost surely, 213434252744 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 13434252744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852134400).

13434252744 is an abundant number, since it is smaller than the sum of its proper divisors (24270016056).

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

13434252744 is a wasteful number, since it uses less digits than its factorization.

13434252744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2799 counting only the distinct ones).

The product of its digits is 322560, while the sum is 39.

The spelling of 13434252744 in words is "thirteen billion, four hundred thirty-four million, two hundred fifty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 659 814 888 1221 1318 1628 1977 2087 2442 2636 3256 3954 4174 4884 5272 6261 7249 7908 8348 9768 12522 14498 15816 16696 21747 22957 24383 25044 28996 43494 45914 48766 50088 57992 68871 73149 77219 86988 91828 97532 137742 146298 154438 173976 183656 195064 231657 268213 275484 292596 308876 463314 536426 550968 585192 617752 804639 849409 926628 1072852 1375333 1609278 1698818 1853256 2145704 2548227 2750666 3218556 3397636 4125999 5096454 5501332 6437112 6795272 8251998 10192908 11002664 15128663 16503996 20385816 30257326 33007992 45385989 50887321 60514652 90771978 101774642 121029304 152661963 181543956 203549284 305323926 363087912 407098568 559760531 610647852 1119521062 1221295704 1679281593 2239042124 3358563186 4478084248 6717126372 13434252744