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2312420100144 = 2437113591742771
BaseRepresentation
bin100001101001100110111…
…110101000100000110000
322012001202112101100010020
4201221212332220200300
5300341314021201034
64530151112003440
7326031632353050
oct41514676504060
98161675340106
102312420100144
11811767953160
123141b4990580
1313a0a2585c5b
147dcc9327560
1540240c41249
hex21a66fa8830

2312420100144 has 160 divisors (see below), whose sum is σ = 7468544839680. Its totient is φ = 598955193600.

The previous prime is 2312420100113. The next prime is 2312420100157. The reversal of 2312420100144 is 4410010242132.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 455479 + ... + 2198249.

It is an arithmetic number, because the mean of its divisors is an integer number (46678405248).

Almost surely, 22312420100144 is an apocalyptic number.

2312420100144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312420100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734272419840).

2312420100144 is an abundant number, since it is smaller than the sum of its proper divisors (5156124739536).

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

2312420100144 is a wasteful number, since it uses less digits than its factorization.

2312420100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743159 (or 1743153 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2312420100144 its reverse (4410010242132), we get a palindrome (6722430342276).

The spelling of 2312420100144 in words is "two trillion, three hundred twelve billion, four hundred twenty million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 359 462 528 616 718 924 1077 1232 1436 1848 2154 2513 2872 3696 3949 4308 5026 5744 7539 7898 8616 10052 11847 15078 15796 17232 20104 23694 27643 30156 31592 40208 47388 55286 60312 63184 82929 94776 110572 120624 165858 189552 221144 331716 442288 663432 1326864 1742771 3485542 5228313 6971084 10456626 12199397 13942168 19170481 20913252 24398794 27884336 36598191 38340962 41826504 48797588 57511443 73196382 76681924 83653008 97595176 115022886 134193367 146392764 153363848 195190352 230045772 268386734 292785528 306727696 402580101 460091544 536773468 585571056 625654789 805160202 920183088 1073546936 1251309578 1610320404 1876964367 2147093872 2502619156 3220640808 3753928734 4379583523 5005238312 6441281616 6882202679 7507857468 8759167046 10010476624 13138750569 13764405358 15015714936 17518334092 20646608037 26277501138 27528810716 30031429872 35036668184 41293216074 48175418753 52555002276 55057621432 70073336368 82586432148 96350837506 105110004552 110115242864 144526256259 165172864296 192701675012 210220009104 289052512518 330345728592 385403350024 578105025036 770806700048 1156210050072 2312420100144