Search a number
-
+
4313993136 = 2432947233283
BaseRepresentation
bin1000000010010001…
…00100111110110000
3102010122112120001120
410001020210332300
532313340240021
61552023502240
7211622223315
oct40110447660
912118476046
104313993136
111914155992
12a048b7980
135399ab77b
142ccd2ad0c
151a3aea2c6
hex101224fb0

4313993136 has 160 divisors (see below), whose sum is σ = 11866383360. Its totient is φ = 1348257792.

The previous prime is 4313993129. The next prime is 4313993147. The reversal of 4313993136 is 6313993134.

It is a super-2 number, since 2×43139931362 = 37221073554910228992, which contains 22 as substring.

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, 15243651 + ... + 15243933.

It is an arithmetic number, because the mean of its divisors is an integer number (74164896).

Almost surely, 24313993136 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 4313993136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933191680).

4313993136 is an abundant number, since it is smaller than the sum of its proper divisors (7552390224).

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

4313993136 is a wasteful number, since it uses less digits than its factorization.

4313993136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its digits is 157464, while the sum is 42.

The square root of 4313993136 is about 65680.9952421551. The cubic root of 4313993136 is about 1627.8953523358.

The spelling of 4313993136 in words is "four billion, three hundred thirteen million, nine hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 47 48 58 87 94 116 141 174 188 232 233 282 283 348 376 464 466 564 566 696 699 752 849 932 1128 1132 1363 1392 1398 1698 1864 2256 2264 2726 2796 3396 3728 4089 4528 5452 5592 6757 6792 8178 8207 10904 10951 11184 13301 13514 13584 16356 16414 20271 21808 21902 24621 26602 27028 32712 32828 32853 39903 40542 43804 49242 53204 54056 65424 65656 65706 65939 79806 81084 87608 98484 106408 108112 131312 131412 131878 159612 162168 175216 196968 197817 212816 262824 263756 317579 319224 324336 385729 393936 395634 525648 527512 635158 638448 771458 791268 952737 1055024 1157187 1270316 1542916 1582536 1905474 1912231 2314374 2540632 3085832 3099133 3165072 3810948 3824462 4628748 5081264 5736693 6171664 6198266 7621896 7648924 9257496 9297399 11473386 12396532 15243792 15297848 18514992 18594798 22946772 24793064 30595696 37189596 45893544 49586128 74379192 89874857 91787088 148758384 179749714 269624571 359499428 539249142 718998856 1078498284 1437997712 2156996568 4313993136