Search a number
-
+
40140562128 = 2438910199221
BaseRepresentation
bin100101011000100100…
…000101111011010000
310211121110112211111020
4211120210011323100
51124201440442003
630235035315440
72620502101632
oct453044057320
9124543484436
1040140562128
1116029334497
127942babb80
133a29228714
141d2b11aa52
15109deeed53
hex958905ed0

40140562128 has 80 divisors (see below), whose sum is σ = 104975870400. Its totient is φ = 13215431680.

The previous prime is 40140562127. The next prime is 40140562151. The reversal of 40140562128 is 82126504104.

It is a happy number.

It is a super-2 number, since 2×401405621282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40140562123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4348558 + ... + 4357778.

It is an arithmetic number, because the mean of its divisors is an integer number (1312198380).

Almost surely, 240140562128 is an apocalyptic number.

40140562128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40140562128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52487935200).

40140562128 is an abundant number, since it is smaller than the sum of its proper divisors (64835308272).

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

40140562128 is a wasteful number, since it uses less digits than its factorization.

40140562128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 40140562128 in words is "forty billion, one hundred forty million, five hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1019 1068 1424 2038 2136 3057 4076 4272 6114 8152 9221 12228 16304 18442 24456 27663 36884 48912 55326 73768 90691 110652 147536 181382 221304 272073 362764 442608 544146 725528 820669 1088292 1451056 1641338 2176584 2462007 3282676 4353168 4924014 6565352 9396199 9848028 13130704 18792398 19696056 28188597 37584796 39392112 56377194 75169592 112754388 150339184 225508776 451017552 836261711 1672523422 2508785133 3345046844 5017570266 6690093688 10035140532 13380187376 20070281064 40140562128