Search a number
-
+
4103211131240 = 2351343699126249
BaseRepresentation
bin111011101101011010011…
…100010010000101101000
3112112021002211122102010112
4323231122130102011220
51014211334022144430
612420553354433452
7602306253102224
oct73553234220550
915467084572115
104103211131240
111342186793141
12563291132888
13239c14973420
1410284ca45784
1571b02091195
hex3bb5a712168

4103211131240 has 128 divisors (see below), whose sum is σ = 10175457600000. Its totient is φ = 1479530465280.

The previous prime is 4103211131233. The next prime is 4103211131249. The reversal of 4103211131240 is 421311123014.

4103211131240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4103211131249) 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, 156305636 + ... + 156331884.

It is an arithmetic number, because the mean of its divisors is an integer number (79495762500).

Almost surely, 24103211131240 is an apocalyptic number.

4103211131240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103211131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087728800000).

4103211131240 is an abundant number, since it is smaller than the sum of its proper divisors (6072246468760).

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

4103211131240 is a wasteful number, since it uses less digits than its factorization.

4103211131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33307 (or 33303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 4103211131240 its reverse (421311123014), we get a palindrome (4524522254254).

The spelling of 4103211131240 in words is "four trillion, one hundred three billion, two hundred eleven million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 4472 5590 6991 11180 13982 22360 26249 27964 34955 52498 55928 69910 90883 104996 131245 139820 181766 209992 262490 279640 300613 341237 363532 454415 524980 601226 682474 727064 908830 1049960 1128707 1202452 1364948 1503065 1706185 1817660 2257414 2404904 2729896 3006130 3412370 3635320 3907969 4514828 5643535 6012260 6824740 7815938 9029656 11287070 12024520 13649480 14673191 15631876 19539845 22574140 29346382 31263752 39079690 45148280 58692764 73365955 78159380 117385528 146731910 156318760 183506759 293463820 367013518 586927640 734027036 917533795 1468054072 1835067590 2385587867 3670135180 4771175734 7340270360 7890790637 9542351468 11927939335 15781581274 19084702936 23855878670 31563162548 39453953185 47711757340 63126325096 78907906370 95423514680 102580278281 157815812740 205160556562 315631625480 410321113124 512901391405 820642226248 1025802782810 2051605565620 4103211131240