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24164144146142 = 271113101119504971
BaseRepresentation
bin1010111111010001001110…
…01110100110011011011110
310011120001212202022210100222
411133220213032212123132
511131401131400134032
6123220504330521342
75042542006163660
oct537504716463336
9104501782283328
1024164144146142
117776a5745a130
12286320ab96252
131063890a9a060
145d779d628530
152bd871528a12
hex15fa273a66de

24164144146142 has 64 divisors (see below), whose sum is σ = 49148092804608. Its totient is φ = 8604357840000.

The previous prime is 24164144146139. The next prime is 24164144146199.

24164144146142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24164144146093 and 24164144146102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59550284 + ... + 59954687.

It is an arithmetic number, because the mean of its divisors is an integer number (767938950072).

Almost surely, 224164144146142 is an apocalyptic number.

24164144146142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24164144146142 is an abundant number, since it is smaller than the sum of its proper divisors (24983948658466).

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

24164144146142 is a wasteful number, since it uses less digits than its factorization.

24164144146142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119505105.

The product of its digits is 589824, while the sum is 44.

The spelling of 24164144146142 in words is "twenty-four trillion, one hundred sixty-four billion, one hundred forty-four million, one hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 101 143 154 182 202 286 707 1001 1111 1313 1414 2002 2222 2626 7777 9191 14443 15554 18382 28886 101101 202202 119504971 239009942 836534797 1314554681 1553564623 1673069594 2629109362 3107129246 9201882767 10874952361 12070002071 17089210853 18403765534 21749904722 24140004142 34178421706 84490014497 119624475971 132770022781 156910026923 168980028994 239248951942 265540045562 313820053846 929390159467 1098370188461 1726010296153 1858780318934 2196740376922 3452020592306 12082072073071 24164144146142