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40214420114211 = 3373729569194483
BaseRepresentation
bin10010010010011001001100…
…01110011100101100100011
312021101110110002012101202000
421021030212032130230203
520232333113022123321
6221310125523255043
711320252550664030
oct1111144616345443
9167343402171660
1040214420114211
11118a4926848532
1246159a7b1a483
13195928525a4a5
149d0561792387
1549b10910c826
hex24932639cb23

40214420114211 has 64 divisors (see below), whose sum is σ = 69930845260800. Its totient is φ = 22357725401088.

The previous prime is 40214420114207. The next prime is 40214420114227. The reversal of 40214420114211 is 11241102441204.

40214420114211 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 442 + 0 + 1 + 1 + 4 + 211 = 666.

It is not a de Polignac number, because 40214420114211 - 22 = 40214420114207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40214420114261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206678776 + ... + 206873258.

It is an arithmetic number, because the mean of its divisors is an integer number (1092669457200).

Almost surely, 240214420114211 is an apocalyptic number.

40214420114211 is a deficient number, since it is larger than the sum of its proper divisors (29716425146589).

40214420114211 is a wasteful number, since it uses less digits than its factorization.

40214420114211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224105 (or 224099 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 40214420114211 its reverse (11241102441204), we get a palindrome (51455522555415).

The spelling of 40214420114211 in words is "forty trillion, two hundred fourteen billion, four hundred twenty million, one hundred fourteen thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 29569 88707 194483 206983 266121 583449 620949 798363 1094053 1361381 1750347 1862847 3282159 4084143 5251041 5588541 7195871 7658371 9846477 12252429 21587613 22975113 29539431 36757287 50371097 64762839 68925339 151113291 194288517 206776017 453339873 1360019619 5750667827 17252003481 40254674789 51756010443 120764024367 155268031329 212774709599 362292073101 638324128797 1086876219303 1489422967193 1914972386391 4468268901579 5744917159173 13404806704737 40214420114211