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4102940983104 = 26342347337223
BaseRepresentation
bin111011101101001010010…
…101101111111101000000
3112112020102000022110120000
4323231022111233331000
51014210310342424404
612420510504320000
7602266462633305
oct73551225577500
915466360273500
104102940983104
111342058248917
12563216773000
13239ba09c8062
14102824c030ac
1571ad84cc339
hex3bb4a56ff40

4102940983104 has 140 divisors (see below), whose sum is σ = 12167620596384. Its totient is φ = 1367060219136.

The previous prime is 4102940983079. The next prime is 4102940983121. The reversal of 4102940983104 is 4013890492014.

4102940983104 is a `hidden beast` number, since 41 + 0 + 29 + 409 + 83 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4102940983104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11998237 + ... + 12335459.

Almost surely, 24102940983104 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 4102940983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083810298192).

4102940983104 is an abundant number, since it is smaller than the sum of its proper divisors (8064679613280).

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

4102940983104 is a wasteful number, since it uses less digits than its factorization.

4102940983104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339594 (or 339575 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4102940983104 in words is "four trillion, one hundred two billion, nine hundred forty million, nine hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2347 2592 4694 5184 7041 9388 14082 18776 21123 28164 37552 42246 56328 63369 75104 84492 112656 126738 150208 168984 190107 225312 253476 337223 337968 380214 450624 506952 674446 675936 760428 1011669 1013904 1348892 1351872 1520856 2023338 2027808 2697784 3035007 3041712 4046676 4055616 5395568 6070014 6083424 8093352 9105021 10791136 12140028 12166848 16186704 18210042 21582272 24280056 27315063 32373408 36420084 48560112 54630126 64746816 72840168 97120224 109260252 145680336 194240448 218520504 291360672 437041008 582721344 791462381 874082016 1582924762 1748164032 2374387143 3165849524 4748774286 6331699048 7123161429 9497548572 12663398096 14246322858 18995097144 21369484287 25326796192 28492645716 37990194288 42738968574 50653592384 56985291432 64108452861 75980388576 85477937148 113970582864 128216905722 151960777152 170955874296 227941165728 256433811444 341911748592 455882331456 512867622888 683823497184 1025735245776 1367646994368 2051470491552 4102940983104