Search a number
-
+
24110044001142 = 231110129531122477
BaseRepresentation
bin1010111101101100011101…
…00110111011001101110110
310011100220020102100200011220
411132312032212323031312
511130004332231014032
6123140000141011210
75035615236426501
oct536661646731566
9104326212320156
1024110044001142
1177560153224a0
122854830b53b06
13105b74b744138
145d4d0a556138
152bc256c2b12c
hex15ed8e9bb376

24110044001142 has 64 divisors (see below), whose sum is σ = 53126794107648. Its totient is φ = 7233432560000.

The previous prime is 24110044001107. The next prime is 24110044001227.

24110044001142 is nontrivially palindromic in base 10.

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, 196792408 + ... + 196914884.

It is an arithmetic number, because the mean of its divisors is an integer number (830106157932).

Almost surely, 224110044001142 is an apocalyptic number.

24110044001142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24110044001142 is an abundant number, since it is smaller than the sum of its proper divisors (29016750106506).

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

24110044001142 is a wasteful number, since it uses less digits than its factorization.

24110044001142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152125.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2411004 and 4001142, that added together give a palindrome (6412146).

The spelling of 24110044001142 in words is "twenty-four trillion, one hundred ten billion, forty-four million, one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 29531 59062 88593 122477 177186 244954 324841 367431 649682 734862 974523 1347247 1949046 2694494 2982631 4041741 5965262 8083482 8947893 12370177 17895786 24740354 32808941 37110531 65617882 74221062 98426823 136071947 196853646 272143894 408215841 816431682 3616868287 7233736574 10850604861 21701209722 39785551157 79571102314 119356653471 238713306942 365303696987 730607393974 1095911090961 2191822181922 4018340666857 8036681333714 12055022000571 24110044001142