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3912141024 = 2533112231627
BaseRepresentation
bin1110100100101110…
…1000100011100000
3101002122101100121000
43221023220203200
531003002003044
61444110432000
7165642435651
oct35113504340
911078340530
103912141024
111728335500
12912202600
134a466c15c
14291803528
1517d6bcd69
hexe92e88e0

3912141024 has 288 divisors, whose sum is σ = 13095371520. Its totient is φ = 1133256960.

The previous prime is 3912140987. The next prime is 3912141053. The reversal of 3912141024 is 4201412193.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2403699 + ... + 2405325.

It is an arithmetic number, because the mean of its divisors is an integer number (45470040).

Almost surely, 23912141024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3912141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547685760).

3912141024 is an abundant number, since it is smaller than the sum of its proper divisors (9183230496).

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

3912141024 is a wasteful number, since it uses less digits than its factorization.

3912141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3912141024 is about 62547.1104368539. The cubic root of 3912141024 is about 1575.6926187268.

It can be divided in two parts, 391 and 2141024, that added together give a triangular number (2141415 = T2069).

The spelling of 3912141024 in words is "three billion, nine hundred twelve million, one hundred forty-one thousand, twenty-four".