Search a number
-
+
141414333112332 = 2232737112247135119
BaseRepresentation
bin100000001001110110010111…
…000101110110000000001100
3200112201002010000111212212100
4200021312113011312000030
5122013413023234043312
61220432503042035100
741533564001264460
oct4011662705660014
9615632100455770
10141414333112332
1141071533417a15
1213a3b066048a90
1360ba411948a17
1426cc6c13224a0
1511537a0b2e5dc
hex809d9717600c

141414333112332 has 144 divisors (see below), whose sum is σ = 419578498160640. Its totient is φ = 39311451432576.

The previous prime is 141414333112321. The next prime is 141414333112357. The reversal of 141414333112332 is 233211333414141.

141414333112332 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 4 + 3 + 3 + 311 + 2 + 332 = 666.

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 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 47 ways as a sum of consecutive naturals, for example, 1046523469 + ... + 1046658587.

It is an arithmetic number, because the mean of its divisors is an integer number (2913739570560).

Almost surely, 2141414333112332 is an apocalyptic number.

141414333112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141414333112332 is an abundant number, since it is smaller than the sum of its proper divisors (278164165048308).

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

141414333112332 is a wasteful number, since it uses less digits than its factorization.

141414333112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247420 (or 247415 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 141414333112332 its reverse (233211333414141), we get a palindrome (374625666526473).

The spelling of 141414333112332 in words is "one hundred forty-one trillion, four hundred fourteen billion, three hundred thirty-three million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 112247 135119 224494 270238 336741 405357 448988 540476 673482 785729 810714 945833 1010223 1216071 1346964 1571458 1621428 1891666 2020446 2357187 2432142 2837499 3142916 3783332 4040892 4153139 4714374 4864284 4999403 5674998 7071561 8306278 8512497 9428748 9998806 11349996 12459417 14143122 14998209 16612556 17024994 19997612 24918834 28286244 29071973 29996418 34049988 34995821 37378251 44994627 49837668 58143946 59992836 69991642 74756502 87215919 89989254 104987463 116287892 139983284 149513004 174431838 179978508 209974926 261647757 314962389 348863676 419949852 523295514 629924778 1046591028 1259849556 15166702393 30333404786 45500107179 60666809572 91000214358 106166916751 136500321537 182000428716 212333833502 273000643074 318500750253 424667667004 546001286148 561167988541 637001500506 955502250759 1122335977082 1274003001012 1683503965623 1911004501518 2244671954164 3367007931246 3822009003036 3928175919787 5050511896869 6734015862492 7856351839574 10101023793738 11784527759361 15712703679148 20202047587476 23569055518722 35353583278083 47138111037444 70707166556166 141414333112332