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4040135406054 = 232111011151175523
BaseRepresentation
bin111010110010101010110…
…101011111000111100110
3112022020021222112120121200
4322302222311133013212
51012143144130443204
612332002415023330
7564614215221546
oct72625265370746
915266258476550
104040135406054
111318459124240
1255300920ab46
13233ca1c3a307
14dd7878b7326
157015e7dc539
hex3acaad5f1e6

4040135406054 has 96 divisors (see below), whose sum is σ = 9652393340928. Its totient is φ = 1211101800000.

The previous prime is 4040135406017. The next prime is 4040135406103. The reversal of 4040135406054 is 4506045310404.

4040135406054 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 1 + 3 + 5 + 40 + 605 + 4 = 666.

It is a super-2 number, since 2×40401354060542 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22929937 + ... + 23105459.

It is an arithmetic number, because the mean of its divisors is an integer number (100545763968).

Almost surely, 24040135406054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040135406054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826196670464).

4040135406054 is an abundant number, since it is smaller than the sum of its proper divisors (5612257934874).

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

4040135406054 is a wasteful number, since it uses less digits than its factorization.

4040135406054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176794 (or 176791 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4040135406054 in words is "four trillion, forty billion, one hundred thirty-five million, four hundred six thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1151 1818 2222 2302 3333 3453 6666 6906 9999 10359 12661 19998 20718 25322 37983 75966 113949 116251 175523 227898 232502 348753 351046 526569 697506 1046259 1053138 1278761 1579707 1930753 2092518 2557522 3159414 3836283 3861506 5792259 7672566 11508849 11584518 17376777 17727823 23017698 34753554 35455646 53183469 106366938 159550407 195006053 202026973 319100814 390012106 404053946 585018159 606080919 1170036318 1212161838 1755054477 1818242757 2222296703 3510108954 3636485514 4444593406 6666890109 13333780218 20000670327 20404724273 40001340654 40809448546 61214172819 122428345638 183642518457 224451967003 367285036914 448903934006 673355901009 1346711802018 2020067703027 4040135406054