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43114216340 = 22513534397127
BaseRepresentation
bin101000001001110011…
…101011101110010100
311010021201000010012102
4220021303223232110
51201244214410330
631450103141232
73054260535506
oct501163535624
9133251003172
1043114216340
111731493a958
128432a44818
1340b1317320
142130025d76
1511c50dc945
hexa09cebb94

43114216340 has 96 divisors (see below), whose sum is σ = 99584432640. Its totient is φ = 15580970496.

The previous prime is 43114216331. The next prime is 43114216361. The reversal of 43114216340 is 4361241134.

It is a happy number.

43114216340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×431142163402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6045857 + ... + 6052983.

It is an arithmetic number, because the mean of its divisors is an integer number (1037337840).

Almost surely, 243114216340 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 43114216340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49792216320).

43114216340 is an abundant number, since it is smaller than the sum of its proper divisors (56470216300).

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

43114216340 is a wasteful number, since it uses less digits than its factorization.

43114216340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 43114216340 its reverse (4361241134), we get a palindrome (47475457474).

The spelling of 43114216340 in words is "forty-three billion, one hundred fourteen million, two hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 439 530 689 878 1060 1378 1756 2195 2756 3445 4390 5707 6890 7127 8780 11414 13780 14254 22828 23267 28508 28535 35635 46534 57070 71270 92651 93068 114140 116335 142540 185302 232670 302471 370604 377731 463255 465340 604942 755462 926510 1209884 1510924 1512355 1853020 1888655 3024710 3128753 3777310 4910503 6049420 6257506 7554620 9821006 12515012 15643765 19642012 24552515 31287530 40673789 49105030 62575060 81347578 98210060 162695156 165823909 203368945 331647818 406737890 663295636 813475780 829119545 1658239090 2155710817 3316478180 4311421634 8622843268 10778554085 21557108170 43114216340