Search a number
-
+
24120400311114 = 2373415313260151
BaseRepresentation
bin1010111101111111101111…
…11001000111001101001010
310011101212222011120201200220
411132333313321013031022
511130142034434423424
6123144431532410510
75036433001546152
oct536776771071512
9104355864521626
1024120400311114
11775a44a181458
122856841316a36
13105c70c1b68c3
145d560db49762
152bc66101c579
hex15eff7e4734a

24120400311114 has 32 divisors (see below), whose sum is σ = 48913412210304. Its totient is φ = 7928084563200.

The previous prime is 24120400311079. The next prime is 24120400311143. The reversal of 24120400311114 is 41111300402142.

It is a happy number.

It is a super-2 number, since 2×241204003111142 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4811062 + ... + 8449089.

It is an arithmetic number, because the mean of its divisors is an integer number (1528544131572).

Almost surely, 224120400311114 is an apocalyptic number.

24120400311114 is an abundant number, since it is smaller than the sum of its proper divisors (24793011899190).

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

24120400311114 is a wasteful number, since it uses less digits than its factorization.

24120400311114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13264382.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 24120400311114 its reverse (41111300402142), we get a palindrome (65231700713256).

The spelling of 24120400311114 in words is "twenty-four trillion, one hundred twenty billion, four hundred million, three hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 73 146 219 438 4153 8306 12459 24918 303169 606338 909507 1819014 13260151 26520302 39780453 79560906 967991023 1935982046 2903973069 5807946138 55069407103 110138814206 165208221309 330416442618 4020066718519 8040133437038 12060200155557 24120400311114