Search a number
-
+
40105782151578 = 232111355727973271
BaseRepresentation
bin10010001111001110110101…
…11001100000100110011010
312021000002000220201002101100
421013213122321200212122
520224043120212322303
6221144201510532230
711306355445355013
oct1107473271404632
9167002026632340
1040105782151578
1111862848518240
1245b8929367076
13194bc60ca9970
149c91b743c00a
1549839b8ab8a3
hex2479dae6099a

40105782151578 has 96 divisors (see below), whose sum is σ = 102270730004352. Its totient is φ = 11198259446400.

The previous prime is 40105782151573. The next prime is 40105782151601. The reversal of 40105782151578 is 87515128750104.

40105782151578 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 57 + 8 + 2 + 1 + 515 + 78 = 666.

40105782151578 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40105782151573) 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 47 ways as a sum of consecutive naturals, for example, 12552918 + ... + 15420353.

It is an arithmetic number, because the mean of its divisors is an integer number (1065320104212).

Almost surely, 240105782151578 is an apocalyptic number.

40105782151578 is an abundant number, since it is smaller than the sum of its proper divisors (62164947852774).

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

40105782151578 is a wasteful number, since it uses less digits than its factorization.

40105782151578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27973860 (or 27973857 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 54.

The spelling of 40105782151578 in words is "forty trillion, one hundred five billion, seven hundred eighty-two million, one hundred fifty-one thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 557 858 1114 1287 1671 2574 3342 5013 6127 7241 10026 12254 14482 18381 21723 36762 43446 55143 65169 79651 110286 130338 159302 238953 477906 716859 1433718 27973271 55946542 83919813 167839626 251759439 307705981 363652523 503518878 615411962 727305046 923117943 1090957569 1846235886 2181915138 2769353829 3272872707 4000177753 5538707658 6545745414 8000355506 12000533259 15581111947 24001066518 31162223894 36001599777 46743335841 72003199554 93486671682 140230007523 171392231417 202554455311 280460015046 342784462834 405108910622 514176694251 607663365933 1028353388502 1215326731866 1542530082753 1822990097799 2228099008421 3085060165506 3645980195598 4456198016842 6684297025263 13368594050526 20052891075789 40105782151578