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141322241424 = 24372134621999
BaseRepresentation
bin1000001110011101110…
…1100100010110010000
3111111202222201200222210
42003213131210112100
54303411443211144
6144531134032120
713132045142400
oct2034735442620
9444688650883
10141322241424
1154a307a2751
1223480648640
13104327b6680
146ba909c800
153a21d56ab9
hex20e7764590

141322241424 has 120 divisors (see below), whose sum is σ = 457356144000. Its totient is φ = 37271791872.

The previous prime is 141322241419. The next prime is 141322241453. The reversal of 141322241424 is 424142223141.

It is a super-2 number, since 2×1413222414242 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 141322241391 and 141322241400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280424 + ... + 2341575.

It is an arithmetic number, because the mean of its divisors is an integer number (3811301200).

Almost surely, 2141322241424 is an apocalyptic number.

141322241424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141322241424 is an abundant number, since it is smaller than the sum of its proper divisors (316033902576).

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

141322241424 is a wasteful number, since it uses less digits than its factorization.

141322241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622037 (or 4622024 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 141322241424 its reverse (424142223141), we get a palindrome (565464464565).

The spelling of 141322241424 in words is "one hundred forty-one billion, three hundred twenty-two million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 4621999 9243998 13865997 18487996 27731994 32353993 36975992 55463988 60085987 64707986 73951984 97061979 110927976 120171974 129415972 180257961 194123958 221855952 226477951 240343948 258831944 360515922 388247916 420601909 452955902 480687896 517663888 679433853 721031844 776495832 841203818 905911804 961375792 1261805727 1358867706 1442063688 1552991664 1682407636 1811823608 2523611454 2717735412 2884127376 2944213363 3364815272 3623647216 5047222908 5435470824 5888426726 6729630544 8832640089 10094445816 10870941648 11776853452 17665280178 20188891632 23553706904 35330560356 47107413808 70661120712 141322241424