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4122114320 = 245471096307
BaseRepresentation
bin1111010110110010…
…0111100100010000
3101122021111002210202
43311230213210100
531420230124240
61521011114332
7204102252002
oct36554474420
911567432722
104122114320
11182590a555
129705a29a8
13509008acc
142b1660372
15191d47315
hexf5b27910

4122114320 has 40 divisors (see below), whose sum is σ = 9787837824. Its totient is φ = 1613762432.

The previous prime is 4122114307. The next prime is 4122114323. The reversal of 4122114320 is 234112214.

4122114320 is digitally balanced in base 2, because in such base 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4122114292 and 4122114301.

It is not an unprimeable number, because it can be changed into a prime (4122114323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544394 + ... + 551913.

Almost surely, 24122114320 is an apocalyptic number.

4122114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122114320 is an abundant number, since it is smaller than the sum of its proper divisors (5665723504).

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

4122114320 is a wasteful number, since it uses less digits than its factorization.

4122114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096367 (or 1096361 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4122114320 is about 64203.6939747239. The cubic root of 4122114320 is about 1603.3931012865.

Adding to 4122114320 its reverse (234112214), we get a palindrome (4356226534).

The spelling of 4122114320 in words is "four billion, one hundred twenty-two million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 1096307 2192614 4385228 5481535 8770456 10963070 17540912 21926140 43852280 51526429 87704560 103052858 206105716 257632145 412211432 515264290 824422864 1030528580 2061057160 4122114320