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4131420000 = 25354371861
BaseRepresentation
bin1111011001000000…
…0111011101100000
3101122220222212210120
43312100013131200
531430120420000
61521542400240
7204244330161
oct36620073540
911586885716
104131420000
111830095aa4
12973730080
1350ac16626
142b29a3768
15192a846a0
hexf6407760

4131420000 has 240 divisors, whose sum is σ = 13925629872. Its totient is φ = 1071360000.

The previous prime is 4131419959. The next prime is 4131420031. The reversal of 4131420000 is 241314.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2219070 + ... + 2220930.

Almost surely, 24131420000 is an apocalyptic number.

4131420000 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 4131420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962814936).

4131420000 is an abundant number, since it is smaller than the sum of its proper divisors (9794209872).

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

4131420000 is a wasteful number, since it uses less digits than its factorization.

4131420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4131420000 is about 64276.1230940386. The cubic root of 4131420000 is about 1604.5987486971.

Adding to 4131420000 its reverse (241314), we get a palindrome (4131661314).

The spelling of 4131420000 in words is "four billion, one hundred thirty-one million, four hundred twenty thousand".