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4124132431320 = 2335115036619397
BaseRepresentation
bin111100000000111001011…
…100101101010111011000
3112121021002212202120111110
4330000321130231113120
51020032210400300240
612434333354500320
7603646563160206
oct74007134552730
915537085676443
104124132431320
111350042272590
1256734b7346a0
1323bb9a191825
14103875430076
1572428b44c80
hex3c03972d5d8

4124132431320 has 256 divisors, whose sum is σ = 13545895265280. Its totient is φ = 996186470400.

The previous prime is 4124132431301. The next prime is 4124132431361. The reversal of 4124132431320 is 231342314214.

4124132431320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×41241324313203 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438872862 + ... + 438882258.

It is an arithmetic number, because the mean of its divisors is an integer number (52913653380).

Almost surely, 24124132431320 is an apocalyptic number.

4124132431320 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 4124132431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772947632640).

4124132431320 is an abundant number, since it is smaller than the sum of its proper divisors (9421762833960).

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

4124132431320 is a wasteful number, since it uses less digits than its factorization.

4124132431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 4124132431320 its reverse (231342314214), we get a palindrome (4355474745534).

The spelling of 4124132431320 in words is "four trillion, one hundred twenty-four billion, one hundred thirty-two million, four hundred thirty-one thousand, three hundred twenty".