Search a number
-
+
141532114020 = 223511277774161
BaseRepresentation
bin1000001111001111111…
…0001010110001100100
3111112022121122100001220
42003303332022301210
54304324210122040
6145004032220340
713140204056013
oct2036376126144
9445277570056
10141532114020
1155029209080
122351a99a6b0
131046711953b
146bc8cd0a7a
153a354b12d0
hex20f3f8ac64

141532114020 has 96 divisors (see below), whose sum is σ = 433877544576. Its totient is φ = 34186905600.

The previous prime is 141532113997. The next prime is 141532114079. The reversal of 141532114020 is 20411235141.

141532114020 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-3 number, since 3×1415321140203 (a number of 34 digits) contains 333 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 31 ways as a sum of consecutive naturals, for example, 204261 + ... + 569900.

It is an arithmetic number, because the mean of its divisors is an integer number (4519557756).

Almost surely, 2141532114020 is an apocalyptic number.

141532114020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141532114020 is an abundant number, since it is smaller than the sum of its proper divisors (292345430556).

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

141532114020 is a wasteful number, since it uses less digits than its factorization.

141532114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774461 (or 774459 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 141532114020 its reverse (20411235141), we get a palindrome (161943349161).

It can be divided in two parts, 141532 and 114020, that added together give a palindrome (255552).

The spelling of 141532114020 in words is "one hundred forty-one billion, five hundred thirty-two million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 277 330 554 660 831 1108 1385 1662 2770 3047 3324 4155 5540 6094 8310 9141 12188 15235 16620 18282 30470 36564 45705 60940 91410 182820 774161 1548322 2322483 3096644 3870805 4644966 7741610 8515771 9289932 11612415 15483220 17031542 23224830 25547313 34063084 42578855 46449660 51094626 85157710 102189252 127736565 170315420 214442597 255473130 428885194 510946260 643327791 857770388 1072212985 1286655582 2144425970 2358868567 2573311164 3216638955 4288851940 4717737134 6433277910 7076605701 9435474268 11794342835 12866555820 14153211402 23588685670 28306422804 35383028505 47177371340 70766057010 141532114020