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40134026466 = 2323787768713
BaseRepresentation
bin100101011000001011…
…001010010011100010
310211121000020210020200
4211120023022103202
51124143302321331
630234243250030
72620362411342
oct453013122342
9124530223220
1040134026466
1116025680116
127940979916
133a27a7a971
141d2a2d8d22
15109d65d5e6
hex9582ca4e2

40134026466 has 48 divisors (see below), whose sum is σ = 89410381944. Its totient is φ = 13001409792.

The previous prime is 40134026461. The next prime is 40134026473. The reversal of 40134026466 is 66462043104.

40134026466 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 0 + 2 + 646 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40108473441 + 25553025 = 200271^2 + 5055^2 .

It is a super-2 number, since 2×401340264662 (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 40134026466.

It is not an unprimeable number, because it can be changed into a prime (40134026461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549726 + ... + 618438.

Almost surely, 240134026466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134026466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44705190972).

40134026466 is an abundant number, since it is smaller than the sum of its proper divisors (49276355478).

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

40134026466 is a wasteful number, since it uses less digits than its factorization.

40134026466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69635 (or 69632 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40134026466 in words is "forty billion, one hundred thirty-four million, twenty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 877 1754 2631 5262 7893 15786 32449 64898 68713 97347 137426 194694 206139 292041 412278 584082 618417 1236834 2542381 5084762 7627143 15254286 22881429 45762858 60261301 120522602 180783903 361567806 542351709 1084703418 2229668137 4459336274 6689004411 13378008822 20067013233 40134026466