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2144324010132 = 22321959239222323
BaseRepresentation
bin11111001101000011101…
…010111100000010010100
321120222212121221012111200
4133031003222330002110
5240113033421311012
64321031105232500
7310631230230633
oct37150352740224
97528777835450
102144324010132
11757448001817
122a7701932730
13127293c01335
1475b0049551a
153aba36273dc
hex1f343abc094

2144324010132 has 144 divisors (see below), whose sum is σ = 5826667392000. Its totient is φ = 662889503808.

The previous prime is 2144324010131. The next prime is 2144324010137. The reversal of 2144324010132 is 2310104234412.

2144324010132 is a `hidden beast` number, since 214 + 4 + 32 + 401 + 0 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2144324010096 and 2144324010105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144324010131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9533923 + ... + 9756245.

It is an arithmetic number, because the mean of its divisors is an integer number (40462968000).

Almost surely, 22144324010132 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 2144324010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913333696000).

2144324010132 is an abundant number, since it is smaller than the sum of its proper divisors (3682343381868).

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

2144324010132 is a wasteful number, since it uses less digits than its factorization.

2144324010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222650 (or 222645 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2144324010132 its reverse (2310104234412), we get a palindrome (4454428244544).

The spelling of 2144324010132 in words is "two trillion, one hundred forty-four billion, three hundred twenty-four million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 59 76 114 118 171 177 228 236 239 342 354 478 531 684 708 717 956 1062 1121 1434 2124 2151 2242 2868 3363 4302 4484 4541 6726 8604 9082 10089 13452 13623 14101 18164 20178 27246 28202 40356 40869 42303 54492 56404 81738 84606 126909 163476 169212 222323 253818 267919 444646 507636 535838 666969 803757 889292 1071676 1333938 1607514 2000907 2411271 2667876 3215028 4001814 4224137 4822542 8003628 8448274 9645084 12672411 13117057 16896548 25344822 26234114 38017233 39351171 50689644 52468228 53135197 76034466 78702342 106270394 118053513 152068932 157404684 159405591 212540788 236107026 249224083 318811182 472214052 478216773 498448166 637622364 747672249 956433546 996896332 1009568743 1495344498 1912867092 2019137486 2243016747 2990688996 3028706229 3134976623 4038274972 4486033494 6057412458 6269953246 8972066988 9086118687 9404929869 12114824916 12539906492 18172237374 18809859738 28214789607 36344474748 37619719476 56429579214 59564555837 112859158428 119129111674 178693667511 238258223348 357387335022 536081002533 714774670044 1072162005066 2144324010132