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40526107461 = 3375373157353
BaseRepresentation
bin100101101111100010…
…110101001101000101
310212121100000120021000
4211233202311031011
51130444140414321
630341211043513
72633163141540
oct455742651505
9125540016230
1040526107461
1116206a273a4
127a30140599
133a8b078958
141d663db857
1510c2caa826
hex96f8b5345

40526107461 has 128 divisors (see below), whose sum is σ = 71521367040. Its totient is φ = 22203777024.

The previous prime is 40526107451. The next prime is 40526107481. The reversal of 40526107461 is 16470162504.

40526107461 is a `hidden beast` number, since 4 + 0 + 526 + 1 + 0 + 74 + 61 = 666.

It is not a de Polignac number, because 40526107461 - 219 = 40525583173 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40526107421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114804661 + ... + 114805013.

It is an arithmetic number, because the mean of its divisors is an integer number (558760680).

Almost surely, 240526107461 is an apocalyptic number.

It is an amenable number.

40526107461 is a deficient number, since it is larger than the sum of its proper divisors (30995259579).

40526107461 is a wasteful number, since it uses less digits than its factorization.

40526107461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 40526107461 its reverse (16470162504), we get a palindrome (56996269965).

The spelling of 40526107461 in words is "forty billion, five hundred twenty-six million, one hundred seven thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 27 53 63 73 157 159 189 219 353 371 471 477 511 657 1059 1099 1113 1413 1431 1533 1971 2471 3177 3297 3339 3869 4239 4599 7413 8321 9531 9891 10017 11461 11607 13797 18709 22239 24963 25769 27083 29673 34383 34821 55421 56127 58247 66717 74889 77307 80227 81249 103149 104463 130963 166263 168381 174741 180383 224667 231921 240681 243747 309447 387947 392889 498789 505143 524223 541149 607433 695763 722043 731241 1163841 1178667 1365757 1496367 1572669 1623447 1822299 2166129 2937313 3491523 3536001 4045733 4097271 4252031 4870341 5466897 8811939 9560299 10474569 12137199 12291813 12756093 16400691 20561191 26435817 28320131 28680897 36411597 36875439 38268279 61683573 79307451 84960393 86042691 109234791 114804837 185050719 214423849 254881179 258128073 555152157 643271547 764643537 1500966943 1929814641 4502900829 5789443923 13508702487 40526107461