Search a number
-
+
141441611616 = 253454568523
BaseRepresentation
bin1000001110111010010…
…0111011011101100000
3111112002022100100010000
42003232210323131200
54304133023032431
6144551040340000
713135024601424
oct2035644733540
9445068310100
10141441611616
1154a921142a8
12234b4614600
131045144ca16
146bbac92b84
153a2c5859e6
hex20ee93b760

141441611616 has 60 divisors (see below), whose sum is σ = 415975858452. Its totient is φ = 47147203008.

The previous prime is 141441611587. The next prime is 141441611621. The reversal of 141441611616 is 616116144141.

141441611616 is a `hidden beast` number, since 1 + 4 + 14 + 4 + 16 + 11 + 616 = 666.

141441611616 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 2×1414416116162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 27281670 + ... + 27286853.

Almost surely, 2141441611616 is an apocalyptic number.

141441611616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141441611616 is an abundant number, since it is smaller than the sum of its proper divisors (274534246836).

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

141441611616 is an equidigital number, since it uses as much as digits as its factorization.

141441611616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54568545 (or 54568528 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

Adding to 141441611616 its reverse (616116144141), we get a palindrome (757557755757).

The spelling of 141441611616 in words is "one hundred forty-one billion, four hundred forty-one million, six hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 54568523 109137046 163705569 218274092 327411138 436548184 491116707 654822276 873096368 982233414 1309644552 1473350121 1746192736 1964466828 2619289104 2946700242 3928933656 4420050363 5238578208 5893400484 7857867312 8840100726 11786800968 15715734624 17680201452 23573601936 35360402904 47147203872 70720805808 141441611616