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4134653340 = 22351076071061
BaseRepresentation
bin1111011001110001…
…1100110110011100
3101200011002011002220
43312130130312130
531431432401330
61522135545340
7204313654626
oct36634346634
911604064086
104134653340
1118319a4284
1297482b250
1350b7a924c
142b31a5c16
15192ec2710
hexf671cd9c

4134653340 has 96 divisors (see below), whose sum is σ = 11715508224. Its totient is φ = 1089442560.

The previous prime is 4134653339. The next prime is 4134653353. The reversal of 4134653340 is 433564314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3896410 + ... + 3897470.

It is an arithmetic number, because the mean of its divisors is an integer number (122036544).

Almost surely, 24134653340 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 4134653340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857754112).

4134653340 is an abundant number, since it is smaller than the sum of its proper divisors (7580854884).

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

4134653340 is a wasteful number, since it uses less digits than its factorization.

4134653340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 4134653340 is about 64301.2701274244. The cubic root of 4134653340 is about 1605.0172376134.

The spelling of 4134653340 in words is "four billion, one hundred thirty-four million, six hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 607 642 1061 1070 1214 1284 1605 1821 2122 2140 2428 3035 3183 3210 3642 4244 5305 6070 6366 6420 7284 9105 10610 12140 12732 15915 18210 21220 31830 36420 63660 64949 113527 129898 194847 227054 259796 324745 340581 389694 454108 567635 644027 649490 681162 779388 974235 1135270 1288054 1298980 1362324 1702905 1932081 1948470 2270540 2576108 3220135 3405810 3864162 3896940 6440270 6811620 7728324 9660405 12880540 19320810 38641620 68910889 137821778 206732667 275643556 344554445 413465334 689108890 826930668 1033663335 1378217780 2067326670 4134653340