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40145100677 = 11374110323357
BaseRepresentation
bin100101011000110101…
…011001111110000101
310211121210002102012122
4211120311121332011
51124204121210202
630235320455325
72620555503563
oct453065317605
9124553072178
1040145100677
1116030954360
12794461a545
133a2a157456
141d2b97ca33
15109e5e99a2
hex958d59f85

40145100677 has 32 divisors (see below), whose sum is σ = 46524651264. Its totient is φ = 34305292800.

The previous prime is 40145100673. The next prime is 40145100691. The reversal of 40145100677 is 77600154104.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 40145100677 - 22 = 40145100673 is a prime.

It is a super-2 number, since 2×401451006772 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40145100673) 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 31 ways as a sum of consecutive naturals, for example, 1707083 + ... + 1730439.

It is an arithmetic number, because the mean of its divisors is an integer number (1453895352).

Almost surely, 240145100677 is an apocalyptic number.

It is an amenable number.

40145100677 is a deficient number, since it is larger than the sum of its proper divisors (6379550587).

40145100677 is a wasteful number, since it uses less digits than its factorization.

40145100677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23549.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 40145100677 in words is "forty billion, one hundred forty-five million, one hundred thousand, six hundred seventy-seven".

Divisors: 1 11 37 41 103 407 451 1133 1517 3811 4223 16687 23357 41921 46453 156251 256927 864209 957637 1718761 2405771 9506299 10534007 26463481 35432569 89013527 98636611 389758259 979148797 1085002721 3649554607 40145100677