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2144101204504 = 237193179822839
BaseRepresentation
bin11111001100110110011…
…001000000001000011000
321120222022002200111122101
4133030312121000020120
5240112104402021004
64320553025533144
7310622553350560
oct37146631001030
97528262614571
102144101204504
11757343262636
122a765b1a41b4
131272599c089c
1475abca57da0
153ab8dcb5ba4
hex1f336640218

2144101204504 has 128 divisors (see below), whose sum is σ = 5055528960000. Its totient is φ = 831790477440.

The previous prime is 2144101204501. The next prime is 2144101204517. The reversal of 2144101204504 is 4054021014412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144101204501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194317 + ... + 3017155.

It is an arithmetic number, because the mean of its divisors is an integer number (39496320000).

Almost surely, 22144101204504 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 2144101204504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527764480000).

2144101204504 is an abundant number, since it is smaller than the sum of its proper divisors (2911427755496).

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

2144101204504 is a wasteful number, since it uses less digits than its factorization.

2144101204504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822981 (or 822977 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 2144101204504 its reverse (4054021014412), we get a palindrome (6198122218916).

The spelling of 2144101204504 in words is "two trillion, one hundred forty-four billion, one hundred one million, two hundred four thousand, five hundred four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 79 124 133 152 158 217 248 266 316 434 532 553 589 632 868 1064 1106 1178 1501 1736 2212 2356 2449 3002 4123 4424 4712 4898 6004 8246 9796 10507 12008 16492 17143 19592 21014 32984 34286 42028 46531 68572 84056 93062 137144 186124 325717 372248 651434 822839 1302868 1645678 2605736 3291356 5759873 6582712 11519746 15633941 23039492 25508009 31267882 46078984 51016018 62535764 65004281 102032036 109437587 125071528 130008562 178556063 204064072 218875174 260017124 357112126 437750348 455029967 484652171 520034248 714224252 875500696 910059934 969304342 1235081339 1428448504 1820119868 1938608684 2015132711 2470162678 3392565197 3640239736 3877217368 4030265422 4940325356 6785130394 8060530844 8645569373 9880650712 13570260788 14105928977 16121061688 17291138746 27140521576 28211857954 34582277492 38287521509 56423715908 69164554984 76575043018 112847431816 153150086036 268012650563 306300172072 536025301126 1072050602252 2144101204504