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14515146740 = 22531163143629
BaseRepresentation
bin11011000010010101…
…11000111111110100
31101110120210212001102
431201022320333310
5214211334143430
610400153545232
71022461466033
oct154112707764
941416725042
1014515146740
116179470646
122991115218
1314a4268333
149b9a9271a
1559e48e345
hex3612b8ff4

14515146740 has 48 divisors (see below), whose sum is σ = 31658350080. Its totient is φ = 5584256640.

The previous prime is 14515146721. The next prime is 14515146743. The reversal of 14515146740 is 4764151541.

It is a junction number, because it is equal to n+sod(n) for n = 14515146694 and 14515146703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14515146743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29246 + ... + 172874.

It is an arithmetic number, because the mean of its divisors is an integer number (659548960).

Almost surely, 214515146740 is an apocalyptic number.

14515146740 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 14515146740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829175040).

14515146740 is an abundant number, since it is smaller than the sum of its proper divisors (17143203340).

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

14515146740 is a wasteful number, since it uses less digits than its factorization.

14515146740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143832 (or 143830 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 14515146740 in words is "fourteen billion, five hundred fifteen million, one hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 163 310 326 620 652 815 1630 3260 5053 10106 20212 25265 50530 101060 143629 287258 574516 718145 1436290 2872580 4452499 8904998 17809996 22262495 23411527 44524990 46823054 89049980 93646108 117057635 234115270 468230540 725757337 1451514674 2903029348 3628786685 7257573370 14515146740