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2442240144 = 2432154910949
BaseRepresentation
bin1001000110010001…
…1010000010010000
320022012111122122200
42101210122002100
520000203141034
61042201403200
7114343461441
oct22144320220
96265448580
102442240144
111043643193
12581a99500
132cbc88016
141924d72c8
15e461ba99
hex9191a090

2442240144 has 60 divisors (see below), whose sum is σ = 6839917500. Its totient is φ = 813480192.

The previous prime is 2442240131. The next prime is 2442240149. The reversal of 2442240144 is 4410422442.

It can be written as a sum of positive squares in 2 ways, for example, as 416160000 + 2026080144 = 20400^2 + 45012^2 .

It is not an unprimeable number, because it can be changed into a prime (2442240149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217582 + ... + 228530.

It is an arithmetic number, because the mean of its divisors is an integer number (113998625).

Almost surely, 22442240144 is an apocalyptic number.

2442240144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442240144 is an abundant number, since it is smaller than the sum of its proper divisors (4397677356).

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

2442240144 is a wasteful number, since it uses less digits than its factorization.

2442240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2442240144 is about 49419.0261336664. The cubic root of 2442240144 is about 1346.6749711390.

Adding to 2442240144 its reverse (4410422442), we get a palindrome (6852662586).

The spelling of 2442240144 in words is "two billion, four hundred forty-two million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1549 3098 4647 6196 9294 10949 12392 13941 18588 21898 24784 27882 32847 37176 43796 55764 65694 74352 87592 98541 111528 131388 175184 197082 223056 262776 394164 525552 788328 1576656 16960001 33920002 50880003 67840004 101760006 135680008 152640009 203520012 271360016 305280018 407040024 610560036 814080048 1221120072 2442240144