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40434189741 = 33111512114273
BaseRepresentation
bin100101101010000100…
…001100010110101101
310212100221001122212000
4211222010030112231
51130302123032431
630324125002513
72630665641051
oct455204142655
9125327048760
1040434189741
111616a056240
127a053b3439
133a75004b7a
141d58111c61
1510b9ba09e6
hex96a10c5ad

40434189741 has 64 divisors (see below), whose sum is σ = 66108180480. Its totient is φ = 24222240000.

The previous prime is 40434189739. The next prime is 40434189797. The reversal of 40434189741 is 14798143404.

It is not a de Polignac number, because 40434189741 - 21 = 40434189739 is a prime.

It is a super-2 number, since 2×404341897412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434188741) 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, 9460581 + ... + 9464853.

It is an arithmetic number, because the mean of its divisors is an integer number (1032940320).

Almost surely, 240434189741 is an apocalyptic number.

It is an amenable number.

40434189741 is a deficient number, since it is larger than the sum of its proper divisors (25673990739).

40434189741 is a wasteful number, since it uses less digits than its factorization.

40434189741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40434189741 in words is "forty billion, four hundred thirty-four million, one hundred eighty-nine thousand, seven hundred forty-one".

Divisors: 1 3 9 11 27 33 99 151 211 297 453 633 1359 1661 1899 2321 4077 4273 4983 5697 6963 12819 14949 20889 31861 38457 44847 47003 62667 95583 115371 141009 286749 350471 423027 645223 860247 901603 1051413 1269081 1935669 2704809 3154239 5807007 7097453 8114427 9462717 9917633 17421021 21292359 24343281 29752899 63877077 89258697 136142053 191631231 267776091 408426159 1225278477 1497562583 3675835431 4492687749 13478063247 40434189741