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40400066993 = 11131789186727
BaseRepresentation
bin100101101000000010…
…000001100110110001
310212021112212001020112
4211220002001212301
51130214404120433
630320505351105
72630102621606
oct455002014661
9125245761215
1040400066993
111615186a320
1279b5a98495
133a6ac184b0
141d5378c6ad
1510b6bb0348
hex9680819b1

40400066993 has 32 divisors (see below), whose sum is σ = 50819892480. Its totient is φ = 31549224960.

The previous prime is 40400066929. The next prime is 40400066999. The reversal of 40400066993 is 39966000404.

It is not a de Polignac number, because 40400066993 - 26 = 40400066929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40400066993.

It is not an unprimeable number, because it can be changed into a prime (40400066999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122996 + ... + 309722.

It is an arithmetic number, because the mean of its divisors is an integer number (1588121640).

Almost surely, 240400066993 is an apocalyptic number.

It is an amenable number.

40400066993 is a deficient number, since it is larger than the sum of its proper divisors (10419825487).

40400066993 is a wasteful number, since it uses less digits than its factorization.

40400066993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186857.

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 40400066993 in words is "forty billion, four hundred million, sixty-six thousand, nine hundred ninety-three".

Divisors: 1 11 13 17 89 143 187 221 979 1157 1513 2431 12727 16643 19669 186727 216359 2053997 2427451 3174359 16618703 26701961 34917949 41266667 182805733 216043139 282517951 453933337 2376474529 3107697461 3672733363 40400066993