Search a number
-
+
4120045312 = 28293753283
BaseRepresentation
bin1111010110010010…
…1110011100000000
3101122010120222122211
43311210232130000
531414212422222
61520454511504
7204045543625
oct36544563400
911563528584
104120045312
111824727029
1296b965594
13508763146
142b128234c
15191a89277
hexf592e700

4120045312 has 144 divisors (see below), whose sum is σ = 8933833440. Its totient is φ = 1892007936.

The previous prime is 4120045309. The next prime is 4120045313. The reversal of 4120045312 is 2135400214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120045313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14558323 + ... + 14558605.

It is an arithmetic number, because the mean of its divisors is an integer number (62040510).

Almost surely, 24120045312 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 4120045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466916720).

4120045312 is an abundant number, since it is smaller than the sum of its proper divisors (4813788128).

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

4120045312 is a wasteful number, since it uses less digits than its factorization.

4120045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4120045312 is about 64187.5791099805. The cubic root of 4120045312 is about 1603.1247933188.

Adding to 4120045312 its reverse (2135400214), we get a palindrome (6255445526).

It can be divided in two parts, 412004 and 5312, that added together give a square (417316 = 6462).

The spelling of 4120045312 in words is "four billion, one hundred twenty million, forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 37 53 58 64 74 106 116 128 148 212 232 256 283 296 424 464 566 592 848 928 1073 1132 1184 1537 1696 1856 1961 2146 2264 2368 3074 3392 3712 3922 4292 4528 4736 6148 6784 7424 7844 8207 8584 9056 9472 10471 12296 13568 14999 15688 16414 17168 18112 20942 24592 29998 31376 32828 34336 36224 41884 49184 56869 59996 62752 65656 68672 72448 83768 98368 113738 119992 125504 131312 137344 167536 196736 227476 239984 251008 262624 274688 303659 335072 393472 434971 454952 479968 502016 525248 554963 607318 670144 869942 909904 959936 1050496 1109926 1214636 1340288 1739884 1819808 1919872 2100992 2219852 2429272 2680576 3479768 3639616 3839744 4439704 4858544 6959536 7279232 8879408 9717088 13919072 14558464 16093927 17758816 19434176 27838144 32187854 35517632 38868352 55676288 64375708 71035264 77736704 111352576 128751416 142070528 257502832 515005664 1030011328 2060022656 4120045312