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4123202440 = 2357174611879
BaseRepresentation
bin1111010111000011…
…0001001110001000
3101122100112101102111
43311300301032020
531421014434230
61521050312104
7204114433240
oct36560611610
911570471374
104123202440
111826493025
12970a28634
135092ca176
142b1864b20
15191eae92a
hexf5c31388

4123202440 has 128 divisors (see below), whose sum is σ = 11256537600. Its totient is φ = 1326919680.

The previous prime is 4123202437. The next prime is 4123202441. The reversal of 4123202440 is 442023214.

It is a happy number.

It is a super-2 number, since 2×41232024402 = 34001596722443907200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4123202441) 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, 2193421 + ... + 2195299.

It is an arithmetic number, because the mean of its divisors is an integer number (87941700).

Almost surely, 24123202440 is an apocalyptic number.

4123202440 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 4123202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628268800).

4123202440 is an abundant number, since it is smaller than the sum of its proper divisors (7133335160).

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

4123202440 is a wasteful number, since it uses less digits than its factorization.

4123202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4123202440 is about 64212.1673828255. The cubic root of 4123202440 is about 1603.5341721442.

Adding to 4123202440 its reverse (442023214), we get a palindrome (4565225654).

The spelling of 4123202440 in words is "four billion, one hundred twenty-three million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 461 476 595 680 922 952 1190 1844 1879 2305 2380 3227 3688 3758 4610 4760 6454 7516 7837 9220 9395 12908 13153 15032 15674 16135 18440 18790 25816 26306 31348 31943 32270 37580 39185 52612 54859 62696 63886 64540 65765 75160 78370 105224 109718 127772 129080 131530 156740 159715 219436 223601 255544 263060 274295 313480 319430 438872 447202 526120 548590 638860 866219 894404 1097180 1118005 1277720 1732438 1788808 2194360 2236010 3464876 4331095 4472020 6063533 6929752 8662190 8944040 12127066 14725723 17324380 24254132 29451446 30317665 34648760 48508264 58902892 60635330 73628615 103080061 117805784 121270660 147257230 206160122 242541320 294514460 412320244 515400305 589028920 824640488 1030800610 2061601220 4123202440