Search a number
-
+
4243137329928 = 2337232837387071
BaseRepresentation
bin111101101111101110101…
…100010111101100001000
3120000122021112110210111210
4331233232230113230020
51024004421124024203
613005134222453120
7615361620133320
oct75575654275410
916018245423453
104243137329928
11139656044a262
125864221341a0
1324a1841655b3
14109524542280
1575591585803
hex3dbeeb17b08

4243137329928 has 128 divisors (see below), whose sum is σ = 12654839070720. Its totient is φ = 1159203429120.

The previous prime is 4243137329923. The next prime is 4243137329953. The reversal of 4243137329928 is 8299237313424.

It is not an unprimeable number, because it can be changed into a prime (4243137329923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10768633 + ... + 11155703.

It is an arithmetic number, because the mean of its divisors is an integer number (98865930240).

Almost surely, 24243137329928 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 4243137329928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327419535360).

4243137329928 is an abundant number, since it is smaller than the sum of its proper divisors (8411701740792).

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

4243137329928 is a wasteful number, since it uses less digits than its factorization.

4243137329928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389947 (or 389943 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 4243137329928 in words is "four trillion, two hundred forty-three billion, one hundred thirty-seven million, three hundred twenty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 2837 3864 5674 8511 11348 17022 19859 22696 34044 39718 59577 65251 68088 79436 119154 130502 158872 195753 238308 261004 387071 391506 456757 476616 522008 774142 783012 913514 1161213 1370271 1548284 1566024 1827028 2322426 2709497 2740542 3096568 3654056 4644852 5418994 5481084 8128491 8902633 9289704 10837988 10962168 16256982 17805266 21675976 26707899 32513964 35610532 53415798 62318431 65027928 71221064 106831596 124636862 186955293 213663192 249273724 373910586 498547448 747821172 1098120427 1495642344 2196240854 3294361281 4392481708 6588722562 7686842989 8784963416 13177445124 15373685978 23060528967 25256769821 26354890248 30747371956 46121057934 50513539642 61494743912 75770309463 92242115868 101027079284 151540618926 176797388747 184484231736 202054158568 303081237852 353594777494 530392166241 606162475704 707189554988 1060784332482 1414379109976 2121568664964 4243137329928