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4124040312 = 2337210633299
BaseRepresentation
bin1111010111001111…
…1101110001111000
3101122102002221202210
43311303331301320
531421223242222
61521120255120
7204124523100
oct36563756170
911572087683
104124040312
111826a05587
129711714a0
13509531652
142b1a02200
151920c7d0c
hexf5cfdc78

4124040312 has 96 divisors (see below), whose sum is σ = 12008304000. Its totient is φ = 1176831936.

The previous prime is 4124040287. The next prime is 4124040317. The reversal of 4124040312 is 2130404214.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124040317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248439 + ... + 1251737.

It is an arithmetic number, because the mean of its divisors is an integer number (125086500).

Almost surely, 24124040312 is an apocalyptic number.

4124040312 is a gapful number since it is divisible by the number (42) 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 4124040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004152000).

4124040312 is an abundant number, since it is smaller than the sum of its proper divisors (7884263688).

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

4124040312 is a wasteful number, since it uses less digits than its factorization.

4124040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4124040312 is about 64218.6912977834. The cubic root of 4124040312 is about 1603.6427823330.

Adding to 4124040312 its reverse (2130404214), we get a palindrome (6254444526).

The spelling of 4124040312 in words is "four billion, one hundred twenty-four million, forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1063 1176 2126 3189 3299 4252 6378 6598 7441 8504 9897 12756 13196 14882 19794 22323 23093 25512 26392 29764 39588 44646 46186 52087 59528 69279 79176 89292 92372 104174 138558 156261 161651 178584 184744 208348 277116 312522 323302 416696 484953 554232 625044 646604 969906 1250088 1293208 1939812 3506837 3879624 7013674 10520511 14027348 21041022 24547859 28054696 42082044 49095718 73643577 84164088 98191436 147287154 171835013 196382872 294574308 343670026 515505039 589148616 687340052 1031010078 1374680104 2062020156 4124040312