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340143035144 = 231121767330713
BaseRepresentation
bin1001111001100100001…
…10101101001100001000
31012111222011010111120112
410330302012231030020
521033103104111034
6420132021413452
733401030044253
oct4746206551410
91174864114515
10340143035144
1112128796a800
1255b0926a288
13260c9711b43
141266a70409a
158cab9eb7ce
hex4f321ad308

340143035144 has 96 divisors (see below), whose sum is σ = 743381384760. Its totient is φ = 145294786560.

The previous prime is 340143035143. The next prime is 340143035203. The reversal of 340143035144 is 441530341043.

It can be written as a sum of positive squares in 4 ways, for example, as 336690062500 + 3452972644 = 580250^2 + 58762^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 340143035144.

It is not an unprimeable number, because it can be changed into a prime (340143035143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11059532 + ... + 11090244.

Almost surely, 2340143035144 is an apocalyptic number.

340143035144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340143035144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371690692380).

340143035144 is an abundant number, since it is smaller than the sum of its proper divisors (403238349616).

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

340143035144 is a wasteful number, since it uses less digits than its factorization.

340143035144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31431 (or 31416 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 340143035144 its reverse (441530341043), we get a palindrome (781673376187).

The spelling of 340143035144 in words is "three hundred forty billion, one hundred forty-three million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 673 748 968 1346 1496 2057 2692 4114 5384 7403 8228 11441 14806 16456 22882 29612 30713 45764 59224 61426 81433 91528 122852 125851 162866 245704 251702 325732 337843 503404 522121 651464 675686 1006808 1044242 1351372 1384361 2088484 2702744 2768722 3716273 4176968 5537444 5743331 7432546 11074888 11486662 14865092 20669849 22973324 29730184 41339698 45946648 63176641 82679396 126353282 165358792 227368339 252706564 351387433 454736678 505413128 702774866 909473356 1405549732 1818946712 2501051729 2811099464 3865261763 5002103458 7730523526 10004206916 15461047052 20008413832 30922094104 42517879393 85035758786 170071517572 340143035144