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24142476070141 = 1121328913265381
BaseRepresentation
bin1010111110101000110111…
…01101011100110011111101
310011110222221200000111000121
411133110123231130303331
511131022242333221031
6123202522252454541
75041144030445512
oct537243355346375
9104428850014017
1024142476070141
117768848391a00
12285ab8247a451
131061819942800
145d67059ab309
152bd004113011
hex15f51bb5ccfd

24142476070141 has 36 divisors (see below), whose sum is σ = 29057951924820. Its totient is φ = 20031785030400.

The previous prime is 24142476070087. The next prime is 24142476070151. The reversal of 24142476070141 is 14107067424142.

It can be written as a sum of positive squares in 6 ways, for example, as 11218781808025 + 12923694262116 = 3349445^2 + 3594954^2 .

It is not a de Polignac number, because 24142476070141 - 217 = 24142475939069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24142476070151) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4812730 + ... + 8452651.

It is an arithmetic number, because the mean of its divisors is an integer number (807165331245).

Almost surely, 224142476070141 is an apocalyptic number.

It is an amenable number.

24142476070141 is a deficient number, since it is larger than the sum of its proper divisors (4915475854679).

24142476070141 is a wasteful number, since it uses less digits than its factorization.

24142476070141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265518 (or 13265494 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 24142476070141 in words is "twenty-four trillion, one hundred forty-two billion, four hundred seventy-six million, seventy thousand, one hundred forty-one".

Divisors: 1 11 13 89 121 143 169 979 1157 1573 1859 10769 12727 15041 20449 139997 165451 1819961 13265381 145919191 172449953 1180618909 1605111101 1896949483 2241849389 12986807999 15348045817 20866444313 24660343279 142854887989 168828503987 199524595621 271263776069 1857113543857 2194770551831 24142476070141