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40406105529 = 3417314123087
BaseRepresentation
bin100101101000011001…
…000011110110111001
310212021222012211120000
4211220121003312321
51130222430334104
630321243023213
72630205141636
oct455031036671
9125258184500
1040406105529
1116155214149
1279b7b0ab09
133a6c250baa
141d544c118d
1510b74a4639
hex968643db9

40406105529 has 80 divisors (see below), whose sum is σ = 67583932416. Its totient is φ = 23935564800.

The previous prime is 40406105513. The next prime is 40406105543. The reversal of 40406105529 is 92550160404.

40406105529 is a `hidden beast` number, since 4 + 0 + 40 + 61 + 0 + 552 + 9 = 666.

40406105529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40406105529 - 24 = 40406105513 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40406105493 and 40406105502.

It is not an unprimeable number, because it can be changed into a prime (40406100529) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1738624 + ... + 1761710.

Almost surely, 240406105529 is an apocalyptic number.

It is an amenable number.

40406105529 is a deficient number, since it is larger than the sum of its proper divisors (27177826887).

40406105529 is a wasteful number, since it uses less digits than its factorization.

40406105529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23188 (or 23179 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 40406105529 in words is "forty billion, four hundred six million, one hundred five thousand, five hundred twenty-nine".

Divisors: 1 3 9 17 27 31 41 51 81 93 123 153 279 369 459 527 697 837 1107 1271 1377 1581 2091 2511 3321 3813 4743 6273 11439 14229 18819 21607 23087 34317 42687 56457 64821 69261 102951 194463 207783 392479 583389 623349 715697 946567 1177437 1750167 1870047 2147091 2839701 3532311 6441273 8519103 10596933 12166849 16091639 19323819 25557309 29343577 31790799 36500547 48274917 57971457 76671927 88030731 109501641 144824751 264092193 328504923 434474253 498840809 792276579 985514769 1303422759 1496522427 2376829737 4489567281 13468701843 40406105529