Search a number
-
+
4120040313 = 321943678363
BaseRepresentation
bin1111010110010010…
…1101001101111001
3101122010120201210200
43311210231031321
531414212242223
61520454432413
7204045523224
oct36544551571
911563521720
104120040313
1118247232a4
1296b962709
13508760a9c
142b12805bb
15191a87a43
hexf592d379

4120040313 has 48 divisors (see below), whose sum is σ = 6506522880. Its totient is φ = 2503382112.

The previous prime is 4120040297. The next prime is 4120040339. The reversal of 4120040313 is 3130400214.

It is not a de Polignac number, because 4120040313 - 24 = 4120040297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4120040363) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 488470 + ... + 496832.

It is an arithmetic number, because the mean of its divisors is an integer number (135552560).

Almost surely, 24120040313 is an apocalyptic number.

4120040313 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4120040313 is a deficient number, since it is larger than the sum of its proper divisors (2386482567).

4120040313 is a wasteful number, since it uses less digits than its factorization.

4120040313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4120040313 is about 64187.5401694129. The cubic root of 4120040313 is about 1603.1241449421.

Adding to 4120040313 its reverse (3130400214), we get a palindrome (7250440527).

The spelling of 4120040313 in words is "four billion, one hundred twenty million, forty thousand, three hundred thirteen".

Divisors: 1 3 9 19 43 57 67 129 171 201 387 603 817 1273 2451 2881 3819 7353 8363 8643 11457 25089 25929 54739 75267 158897 164217 359609 476691 492651 560321 1078827 1430073 1680963 3236481 5042889 6832571 10646099 20497713 24093803 31938297 61493139 72281409 95814891 216844227 457782257 1373346771 4120040313