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2144140044 = 22319107179491
BaseRepresentation
bin111111111001100…
…1111101100001100
312112102120121012020
41333303033230030
513342344440134
6552432210140
7104063614104
oct17763175414
95472517166
102144140044
11a00347172
124ba099950
132822a3c27
14164a9a204
15c8385b49
hex7fccfb0c

2144140044 has 96 divisors (see below), whose sum is σ = 5356108800. Its totient is φ = 665663040.

The previous prime is 2144140021. The next prime is 2144140067. The reversal of 2144140044 is 4400414412.

2144140044 = T312 + T313 + ... + T2344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2144140021) and next prime (2144140067).

It is a junction number, because it is equal to n+sod(n) for n = 2144139996 and 2144140023.

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, 4366639 + ... + 4367129.

It is an arithmetic number, because the mean of its divisors is an integer number (55792800).

Almost surely, 22144140044 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 2144140044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678054400).

2144140044 is an abundant number, since it is smaller than the sum of its proper divisors (3211968756).

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

2144140044 is a wasteful number, since it uses less digits than its factorization.

2144140044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2144140044 is about 46304.8598313395. The cubic root of 2144140044 is about 1289.4892202925.

Adding to 2144140044 its reverse (4400414412), we get a palindrome (6544554456).

The spelling of 2144140044 in words is "two billion, one hundred forty-four million, one hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 179 214 228 321 358 428 491 537 642 716 982 1074 1284 1473 1964 2033 2148 2946 3401 4066 5892 6099 6802 8132 9329 10203 12198 13604 18658 19153 20406 24396 27987 37316 38306 40812 52537 55974 57459 76612 87889 105074 111948 114918 157611 175778 210148 229836 263667 315222 351556 363907 527334 630444 727814 998203 1054668 1091721 1455628 1669891 1996406 2183442 2994609 3339782 3992812 4366884 5009673 5989218 6679564 9404123 10019346 11978436 18808246 20038692 28212369 37616492 56424738 112849476 178678337 357356674 536035011 714713348 1072070022 2144140044