Search a number
-
+
40136326335 = 3357118135963
BaseRepresentation
bin100101011000010011…
…111011110010111111
310211121011120122002000
4211120103323302333
51124144344420320
630234404433343
72620421100450
oct453023736277
9124534518060
1040136326335
1116026a01036
1279416a8853
133a283a4731
141d2a737127
15109d964c90
hex9584fbcbf

40136326335 has 64 divisors (see below), whose sum is σ = 81618140160. Its totient is φ = 18331989120.

The previous prime is 40136326333. The next prime is 40136326339. The reversal of 40136326335 is 53362363104.

40136326335 is a `hidden beast` number, since 4 + 0 + 1 + 363 + 263 + 35 = 666.

It is not a de Polignac number, because 40136326335 - 21 = 40136326333 is a prime.

It is a super-2 number, since 2×401363263352 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40136326335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40136326333) 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, 1098064 + ... + 1134026.

It is an arithmetic number, because the mean of its divisors is an integer number (1275283440).

Almost surely, 240136326335 is an apocalyptic number.

40136326335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40136326335 is an abundant number, since it is smaller than the sum of its proper divisors (41481813825).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40136326335 is a wasteful number, since it uses less digits than its factorization.

40136326335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37165 (or 37159 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 40136326335 its reverse (53362363104), we get a palindrome (93498689439).

The spelling of 40136326335 in words is "forty billion, one hundred thirty-six million, three hundred twenty-six thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1181 3543 5905 8267 10629 17715 24801 31887 35963 41335 53145 74403 107889 124005 159435 179815 223209 251741 323667 372015 539445 755223 971001 1116045 1258705 1618335 2265669 3776115 4855005 6797007 11328345 33985035 42472303 127416909 212361515 297306121 382250727 637084545 891918363 1146752181 1486530605 1911253635 2675755089 4459591815 5733760905 8027265267 13378775445 40136326335