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141715760416 = 2553439190339
BaseRepresentation
bin1000001111111011101…
…0101110010100100000
3111112210102012112120021
42003332322232110200
54310213213313131
6145034152323224
713144564042156
oct2037672562440
9445712175507
10141715760416
115511294135a
12235703a3514
1310496199049
146c054573d6
153a46689e11
hex20feeae520

141715760416 has 48 divisors (see below), whose sum is σ = 284916139200. Its totient is φ = 69362212608.

The previous prime is 141715760399. The next prime is 141715760491. The reversal of 141715760416 is 614067517141.

141715760416 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-2 number, since 2×1417157604162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 649375 + ... + 839713.

It is an arithmetic number, because the mean of its divisors is an integer number (5935752900).

Almost surely, 2141715760416 is an apocalyptic number.

141715760416 is a gapful number since it is divisible by the number (16) 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 141715760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142458069600).

141715760416 is an abundant number, since it is smaller than the sum of its proper divisors (143200378784).

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

141715760416 is a wasteful number, since it uses less digits than its factorization.

141715760416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190841 (or 190833 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 141715760416 in words is "one hundred forty-one billion, seven hundred fifteen million, seven hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 53 106 212 424 439 848 878 1696 1756 3512 7024 14048 23267 46534 93068 186136 190339 372272 380678 744544 761356 1522712 3045424 6090848 10087967 20175934 40351868 80703736 83558821 161407472 167117642 322814944 334235284 668470568 1336941136 2673882272 4428617513 8857235026 17714470052 35428940104 70857880208 141715760416