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40191228162 = 2341928292
BaseRepresentation
bin100101011011100101…
…010111100100000010
310211201222212221020000
4211123211113210002
51124302423300122
630244045300430
72621655542211
oct453345274402
9124658787200
1040191228162
111605499a648
127957b64716
133a36888017
141d33b49078
1510a36ac0ac
hex95b957902

40191228162 has 90 divisors (see below), whose sum is σ = 95162283513. Its totient is φ = 12676656816.

The previous prime is 40191228157. The next prime is 40191228167. The reversal of 40191228162 is 26182219104.

40191228162 is a `hidden beast` number, since 401 + 91 + 2 + 2 + 8 + 162 = 666.

It is an interprime number because it is at equal distance from previous prime (40191228157) and next prime (40191228167).

It can be written as a sum of positive squares in 2 ways, for example, as 39959610201 + 231617961 = 199899^2 + 15219^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=141759.

It is not an unprimeable number, because it can be changed into a prime (40191228167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48481164 + ... + 48481992.

Almost surely, 240191228162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40191228162

40191228162 is an abundant number, since it is smaller than the sum of its proper divisors (54971055351).

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

40191228162 is an frugal number, since it uses more digits than its factorization.

40191228162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 40191228162 in words is "forty billion, one hundred ninety-one million, two hundred twenty-eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 829 1026 1083 1539 1658 2166 2487 3078 3249 4974 6498 7461 9747 14922 15751 19494 22383 29241 31502 44766 47253 58482 67149 94506 134298 141759 283518 299269 425277 598538 687241 850554 897807 1275831 1374482 1795614 2061723 2551662 2693421 4123446 5386842 6185169 8080263 12370338 13057579 16160526 18555507 24240789 26115158 37111014 39172737 48481578 55666521 78345474 111333042 117518211 235036422 248094001 352554633 496188002 705109266 744282003 1057663899 1488564006 2115327798 2232846009 4465692018 6698538027 13397076054 20095614081 40191228162