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14440378680 = 23345713174367
BaseRepresentation
bin11010111001011011…
…01011000100111000
31101021101010020120000
431130231223010320
5214033214104210
610344523233000
71020563123250
oct153455530470
941241106500
1014440378680
116140243262
122970078760
13149191a490
149adb8c960
15597b20ac0
hex35cb6b138

14440378680 has 1280 divisors, whose sum is σ = 65687086080. Its totient is φ = 2759049216.

The previous prime is 14440378669. The next prime is 14440378741. The reversal of 14440378680 is 8687304441.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 215528007 + ... + 215528073.

It is an arithmetic number, because the mean of its divisors is an integer number (51318036).

Almost surely, 214440378680 is an apocalyptic number.

14440378680 is a gapful number since it is divisible by the number (10) 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 14440378680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32843543040).

14440378680 is an abundant number, since it is smaller than the sum of its proper divisors (51246707400).

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

14440378680 is a wasteful number, since it uses less digits than its factorization.

14440378680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14440378680 in words is "fourteen billion, four hundred forty million, three hundred seventy-eight thousand, six hundred eighty".