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2144010012 = 223179721117
BaseRepresentation
bin111111111001010…
…1111111100011100
312112102022222211020
41333302233330130
513342331310022
6552425324140
7104062533024
oct17762577434
95472288736
102144010012
11a00268501
124ba036650
132822599a1
14164a64a84
15c835c35c
hex7fcaff1c

2144010012 has 72 divisors (see below), whose sum is σ = 5356928304. Its totient is φ = 665100288.

The previous prime is 2144009969. The next prime is 2144010017. The reversal of 2144010012 is 2100104412.

It is a junction number, because it is equal to n+sod(n) for n = 2144009973 and 2144010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144010017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1918878 + ... + 1919994.

It is an arithmetic number, because the mean of its divisors is an integer number (74401782).

Almost surely, 22144010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678464152).

2144010012 is an abundant number, since it is smaller than the sum of its proper divisors (3212918292).

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

2144010012 is a wasteful number, since it uses less digits than its factorization.

2144010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2144010012 is about 46303.4557241681. The cubic root of 2144010012 is about 1289.4631526152.

Adding to 2144010012 its reverse (2100104412), we get a palindrome (4244114424).

The spelling of 2144010012 in words is "two billion, one hundred forty-four million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 97 102 194 204 291 388 582 1117 1164 1649 2234 3298 3351 4468 4947 6596 6702 9409 9894 13404 18818 18989 19788 28227 37636 37978 56454 56967 75956 108349 112908 113934 159953 216698 227868 319906 325047 433396 479859 639812 650094 959718 1300188 1841933 1919436 3683866 5525799 7367732 10509853 11051598 21019706 22103196 31529559 42039412 63059118 126118236 178667501 357335002 536002503 714670004 1072005006 2144010012