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2104504325144 = 2313416146117551
BaseRepresentation
bin11110100111111110001…
…110111001010000011000
321110012002112011121200222
4132213332032321100120
5233440011101401034
64250443531215212
7305021402416604
oct36477616712030
97405075147628
102104504325144
11741573911051
1229ba4a2a7508
131235b9303160
1473c03c24504
1539b228ac12e
hex1e9fe3b9418

2104504325144 has 128 divisors (see below), whose sum is σ = 4434338684160. Its totient is φ = 930009600000.

The previous prime is 2104504325141. The next prime is 2104504325177. The reversal of 2104504325144 is 4415234054012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104504325141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119899169 + ... + 119916719.

It is an arithmetic number, because the mean of its divisors is an integer number (34643270970).

Almost surely, 22104504325144 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 2104504325144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217169342080).

2104504325144 is an abundant number, since it is smaller than the sum of its proper divisors (2329834359016).

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

2104504325144 is a wasteful number, since it uses less digits than its factorization.

2104504325144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18133 (or 18129 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 2104504325144 its reverse (4415234054012), we get a palindrome (6519738379156).

The spelling of 2104504325144 in words is "two trillion, one hundred four billion, five hundred four million, three hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 41 52 61 82 104 122 164 244 328 461 488 533 793 922 1066 1586 1844 2132 2501 3172 3688 4264 5002 5993 6344 10004 11986 17551 18901 20008 23972 28121 32513 35102 37802 47944 56242 65026 70204 75604 112484 130052 140408 151208 224968 228163 245713 260104 365573 456326 491426 719591 731146 912652 982852 1070611 1152961 1439182 1462292 1825304 1965704 2141222 2305922 2878364 2924584 4282444 4611844 5756728 8091011 8564888 9223688 9354683 13917943 14988493 16182022 18709366 27835886 29976986 32364044 37418732 43895051 55671772 59953972 64728088 74837464 87790102 105183143 111343544 119907944 175580204 210366286 331731451 351160408 420732572 493551671 570635663 663462902 841465144 987103342 1141271326 1326925804 1974206684 2282542652 2653851608 3948413368 4312508863 4565085304 6416171723 8625017726 12832343446 17250035452 20235618511 25664686892 34500070904 40471237022 51329373784 80942474044 161884948088 263063040643 526126081286 1052252162572 2104504325144