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40041122121 = 34711132917029
BaseRepresentation
bin100101010010101000…
…110000100101001001
310211100112102202110000
4211102220300211021
51124001011401441
630221124113213
72615153631240
oct452250604511
9124315382400
1040041122121
1115a88195770
127915835809
133a1174ca90
141d1bc33957
15109540b2b6
hex952a30949

40041122121 has 160 divisors (see below), whose sum is σ = 83084601600. Its totient is φ = 18537361920.

The previous prime is 40041122111. The next prime is 40041122123. The reversal of 40041122121 is 12122114004.

40041122121 is a `hidden beast` number, since 40 + 0 + 411 + 2 + 212 + 1 = 666.

It is not a de Polignac number, because 40041122121 - 210 = 40041121097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40041122094 and 40041122103.

It is not an unprimeable number, because it can be changed into a prime (40041122123) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2342835 + ... + 2359863.

It is an arithmetic number, because the mean of its divisors is an integer number (519278760).

Almost surely, 240041122121 is an apocalyptic number.

It is an amenable number.

40041122121 is an abundant number, since it is smaller than the sum of its proper divisors (43043479479).

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

40041122121 is a wasteful number, since it uses less digits than its factorization.

40041122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17101 (or 17092 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 40041122121 its reverse (12122114004), we get a palindrome (52163236125).

The spelling of 40041122121 in words is "forty billion, forty-one million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 27 29 33 39 63 77 81 87 91 99 117 143 189 203 231 261 273 297 319 351 377 429 567 609 693 783 819 891 957 1001 1053 1131 1287 1827 2079 2233 2349 2457 2639 2871 3003 3393 3861 4147 5481 6237 6699 7371 7917 8613 9009 10179 11583 12441 16443 17029 20097 23751 25839 27027 29029 30537 37323 51087 60291 71253 81081 87087 111969 119203 153261 180873 187319 213759 221377 261261 335907 357609 459783 493841 561957 664131 783783 1072827 1311233 1379349 1481523 1549639 1685871 1992393 2351349 2435147 3218481 3456887 3933699 4444569 4648917 5057613 5432251 5977179 6419933 7305441 9655443 10370661 11801097 13333707 13946751 15172839 16296753 17046029 17931537 19259799 21916323 31111983 35403291 38025757 40001121 41840253 44939531 48890259 51138087 57779397 65748969 70619263 93335949 106209873 114077271 125520759 134818593 146670777 153414261 173338191 197246907 211857789 280007847 342231813 404455779 440012331 460242783 494334841 520014573 635573367 1026695439 1213367337 1380728349 1483004523 1906720101 3080086317 3640102011 4449013569 5720160303 13347040707 40041122121