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4034661041016 = 233452114298363
BaseRepresentation
bin111010101101100100100…
…010011100001101111000
3112021201011110120000120000
4322231210202130031320
51012100441211303031
612325255300233000
7564331442665614
oct72554442341570
915251143500500
104034661041016
1113160a9a79811
12551b3b99b760
1323360ba30868
14dd3c8814344
156ee3ddd33e6
hex3ab6489c378

4034661041016 has 160 divisors (see below), whose sum is σ = 11331755463600. Its totient is φ = 1341205931520.

The previous prime is 4034661040999. The next prime is 4034661041029. The reversal of 4034661041016 is 6101401664304.

4034661041016 is a `hidden beast` number, since 4 + 0 + 34 + 6 + 610 + 4 + 1 + 0 + 1 + 6 = 666.

4034661041016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482437651 + ... + 482446013.

Almost surely, 24034661041016 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 4034661041016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665877731800).

4034661041016 is an abundant number, since it is smaller than the sum of its proper divisors (7297094422584).

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

4034661041016 is a wasteful number, since it uses less digits than its factorization.

4034661041016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4034661041016 in words is "four trillion, thirty-four billion, six hundred sixty-one million, forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 521 648 1042 1429 1563 2084 2858 3126 4168 4287 4689 5716 6252 8363 8574 9378 11432 12504 12861 14067 16726 17148 18756 25089 25722 28134 33452 34296 37512 38583 42201 50178 51444 56268 66904 75267 77166 84402 100356 102888 112536 115749 150534 154332 168804 200712 225801 231498 301068 308664 337608 451602 462996 602136 677403 744509 903204 925992 1354806 1489018 1806408 2233527 2709612 2978036 4357123 4467054 5419224 5956072 6700581 8714246 8934108 11950727 13071369 13401162 17428492 17868216 20101743 23901454 26142738 26802324 34856984 35852181 39214107 40203486 47802908 52285476 53604648 60305229 71704362 78428214 80406972 95605816 104570952 107556543 117642321 120610458 143408724 156856428 160813944 215113086 235284642 241220916 286817448 313712856 322669629 352926963 430226172 470569284 482441832 645339258 705853926 860452344 941138568 968008887 1290678516 1411707852 1936017774 2581357032 2823415704 3872035548 6226328767 7744071096 12452657534 18678986301 24905315068 37357972602 49810630136 56036958903 74715945204 112073917806 149431890408 168110876709 224147835612 336221753418 448295671224 504332630127 672443506836 1008665260254 1344887013672 2017330520508 4034661041016