Search a number
-
+
24361211216342 = 27112131106221561
BaseRepresentation
bin1011000101000000010010…
…10101110100000111010110
310012020220112200210012112202
411202200021111310013112
511143113230032410332
6123451215210044502
75063016344510150
oct542401125640726
9105226480705482
1024361211216342
1178425936aa800
122895448419732
131079338588ac0
14603135da1ad0
152c3a57256a62
hex1628095741d6

24361211216342 has 48 divisors (see below), whose sum is σ = 49434829162656. Its totient is φ = 8761274755200.

The previous prime is 24361211216341. The next prime is 24361211216351.

24361211216342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×243612112163422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24361211216296 and 24361211216305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24361211216341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 553088759 + ... + 553132802.

It is an arithmetic number, because the mean of its divisors is an integer number (1029892274222).

Almost surely, 224361211216342 is an apocalyptic number.

24361211216342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24361211216342 is an abundant number, since it is smaller than the sum of its proper divisors (25073617946314).

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

24361211216342 is a wasteful number, since it uses less digits than its factorization.

24361211216342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106221605 (or 1106221594 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 24361211216342 in words is "twenty-four trillion, three hundred sixty-one billion, two hundred eleven million, two hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 1106221561 2212443122 7743550927 12168437171 14380880293 15487101854 24336874342 28761760586 85179060197 100666162051 133852808881 158189683223 170358120394 201332324102 267705617762 316379366446 936969662167 1107327782561 1740086515453 1873939324334 2214655565122 3480173030906 12180605608171 24361211216342