Search a number
-
+
4121311440 = 243571241861
BaseRepresentation
bin1111010110100110…
…0011100011010000
3101122012222022110110
43311221203203100
531420023431230
61520542001320
7204062366151
oct36551434320
911565868413
104121311440
111825411314
12970276240
13508ab752c
142b14d1928
15191c394b0
hexf5a638d0

4121311440 has 80 divisors (see below), whose sum is σ = 12956063616. Its totient is φ = 1083532800.

The previous prime is 4121311427. The next prime is 4121311471. The reversal of 4121311440 is 441131214.

4121311440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103891 + ... + 137970.

Almost surely, 24121311440 is an apocalyptic number.

4121311440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121311440 is an abundant number, since it is smaller than the sum of its proper divisors (8834752176).

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

4121311440 is a wasteful number, since it uses less digits than its factorization.

4121311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241948 (or 241942 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4121311440 is about 64197.4410704975. The cubic root of 4121311440 is about 1603.2889948546.

Adding to 4121311440 its reverse (441131214), we get a palindrome (4562442654).

The spelling of 4121311440 in words is "four billion, one hundred twenty-one million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 241861 483722 725583 967444 1209305 1451166 1934888 2418610 2902332 3627915 3869776 4837220 5804664 7255830 9674440 11609328 14511660 17172131 19348880 29023320 34344262 51516393 58046640 68688524 85860655 103032786 137377048 171721310 206065572 257581965 274754096 343442620 412131144 515163930 686885240 824262288 1030327860 1373770480 2060655720 4121311440