Search a number
-
+
4102687344 = 2437831311123
BaseRepresentation
bin1111010010001010…
…0000101001110000
3101120220221010000010
43310202200221300
531400241443334
61515034454520
7203445160410
oct36442405160
911526833003
104102687344
1118159507a8
12965b94440
13504c96462
142acc44640
151902ab0e9
hexf48a0a70

4102687344 has 160 divisors (see below), whose sum is σ = 12363208704. Its totient is φ = 1148209920.

The previous prime is 4102687331. The next prime is 4102687373. The reversal of 4102687344 is 4437862014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3652767 + ... + 3653889.

Almost surely, 24102687344 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 4102687344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181604352).

4102687344 is an abundant number, since it is smaller than the sum of its proper divisors (8260521360).

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

4102687344 is a wasteful number, since it uses less digits than its factorization.

4102687344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4102687344 is about 64052.2235679605. The cubic root of 4102687344 is about 1600.8702744698.

The spelling of 4102687344 in words is "four billion, one hundred two million, six hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 131 166 168 249 262 332 336 393 498 524 581 664 786 917 996 1048 1123 1162 1328 1572 1743 1834 1992 2096 2246 2324 2751 3144 3369 3486 3668 3984 4492 4648 5502 6288 6738 6972 7336 7861 8984 9296 10873 11004 13476 13944 14672 15722 17968 21746 22008 23583 26952 27888 31444 32619 43492 44016 47166 53904 62888 65238 76111 86984 93209 94332 125776 130476 147113 152222 173968 186418 188664 228333 260952 279627 294226 304444 372836 377328 441339 456666 521904 559254 588452 608888 652463 745672 882678 913332 1029791 1118508 1176904 1217776 1304926 1491344 1765356 1826664 1957389 2059582 2237016 2353808 2609852 3089373 3530712 3653328 3914778 4119164 4474032 5219704 6178746 7061424 7829556 8238328 10439408 12210379 12357492 15659112 16476656 24420758 24714984 31318224 36631137 48841516 49429968 73262274 85472653 97683032 146524548 170945306 195366064 256417959 293049096 341890612 512835918 586098192 683781224 1025671836 1367562448 2051343672 4102687344