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24240144104242 = 21119435325445711
BaseRepresentation
bin1011000001011110110010…
…01011011011101100110010
310011211100001022122200102221
411200233121023123230302
511134122303342313432
6123315433553431254
75051202240155563
oct540573113335462
9104740038580387
1024240144104242
1177a6207453560
122875a9b26b52a
13106aab3297371
145db32d03c16a
152c081d764b97
hex160bd92dbb32

24240144104242 has 64 divisors (see below), whose sum is σ = 43530488432640. Its totient is φ = 10003217515200.

The previous prime is 24240144104173. The next prime is 24240144104317.

24240144104242 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×242401441042423 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24240144104198 and 24240144104207.

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, 11770234 + ... + 13675477.

It is an arithmetic number, because the mean of its divisors is an integer number (680163881760).

Almost surely, 224240144104242 is an apocalyptic number.

24240144104242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24240144104242 is a deficient number, since it is larger than the sum of its proper divisors (19290344328398).

24240144104242 is a wasteful number, since it uses less digits than its factorization.

24240144104242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25445839.

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 2424014 and 4104242, that added together give a palindrome (6528256).

The spelling of 24240144104242 in words is "twenty-four trillion, two hundred forty billion, one hundred forty-four million, one hundred four thousand, two hundred forty-two".

Divisors: 1 2 11 19 22 38 43 53 86 106 209 418 473 583 817 946 1007 1166 1634 2014 2279 4558 8987 11077 17974 22154 25069 43301 50138 86602 476311 952622 25445711 50891422 279902821 483468509 559805642 966937018 1094165573 1348622683 2188331146 2697245366 5318153599 10636307198 12035821303 14834849513 20789145887 24071642606 25623830977 29669699026 41578291774 51247661954 57990775369 115981550738 228680604757 281862140747 457361209514 563724281494 637898529059 1101824732011 1275797058118 2203649464022 12120072052121 24240144104242