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40641442605 = 355198321211
BaseRepresentation
bin100101110110011010…
…110011001100101101
310212220101001012100000
4211312122303030231
51131213202130410
630400451054513
72636063363601
oct456632631455
9125811035300
1040641442605
11162660423a5
127a628a1439
133aa8c2b4ba
141d77861501
1510cce8ddc0
hex9766b332d

40641442605 has 96 divisors (see below), whose sum is σ = 77829373440. Its totient is φ = 20286262080.

The previous prime is 40641442601. The next prime is 40641442609. The reversal of 40641442605 is 50624414604.

40641442605 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 1 + 4 + 42 + 605 = 666.

It is an interprime number because it is at equal distance from previous prime (40641442601) and next prime (40641442609).

It is not a de Polignac number, because 40641442605 - 22 = 40641442601 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40641442605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40641442601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1905450 + ... + 1926660.

It is an arithmetic number, because the mean of its divisors is an integer number (810722640).

Almost surely, 240641442605 is an apocalyptic number.

40641442605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40641442605 is a deficient number, since it is larger than the sum of its proper divisors (37187930835).

40641442605 is a wasteful number, since it uses less digits than its factorization.

40641442605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21333 (or 21321 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40641442605 in words is "forty billion, six hundred forty-one million, four hundred forty-two thousand, six hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 83 95 135 171 243 249 285 405 415 513 747 855 1215 1245 1539 1577 2241 2565 3735 4617 4731 6723 7695 7885 11205 14193 20169 21211 23085 23655 33615 42579 63633 70965 100845 106055 127737 190899 212895 318165 383211 403009 572697 638685 954495 1209027 1718091 1760513 1916055 2015045 2863485 3627081 5154273 5281539 6045135 8590455 8802565 10881243 15844617 18135405 25771365 26407695 32643729 33449747 47533851 54406215 79223085 97931187 100349241 142601553 163218645 167248735 237669255 301047723 427804659 489655935 501746205 713007765 903143169 1505238615 2139023295 2709429507 4515715845 8128288521 13547147535 40641442605