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2112441144 = 2331114535507
BaseRepresentation
bin111110111101001…
…0100101100111000
312110012221010110220
41331322110230320
513311241104034
6545340540040
7103230311352
oct17572245470
95405833426
102112441144
11994466330
124ab551620
13278855898
141607a80d2
15c56c3749
hex7de94b38

2112441144 has 64 divisors (see below), whose sum is σ = 5766215040. Its totient is φ = 639576960.

The previous prime is 2112441139. The next prime is 2112441169. The reversal of 2112441144 is 4411442112.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380839 + ... + 386345.

It is an arithmetic number, because the mean of its divisors is an integer number (90097110).

Almost surely, 22112441144 is an apocalyptic number.

2112441144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2112441144 is an abundant number, since it is smaller than the sum of its proper divisors (3653773896).

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

2112441144 is a wasteful number, since it uses less digits than its factorization.

2112441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6976 counting only the distinct ones).

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

The square root of 2112441144 is about 45961.3005037934. The cubic root of 2112441144 is about 1283.1030556106.

Adding to 2112441144 its reverse (4411442112), we get a palindrome (6523883256).

The spelling of 2112441144 in words is "two billion, one hundred twelve million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1453 2906 4359 5507 5812 8718 11014 11624 15983 16521 17436 22028 31966 33042 34872 44056 47949 60577 63932 66084 95898 121154 127864 132168 181731 191796 242308 363462 383592 484616 726924 1453848 8001671 16003342 24005013 32006684 48010026 64013368 88018381 96020052 176036762 192040104 264055143 352073524 528110286 704147048 1056220572 2112441144