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40122456220 = 225711166715629
BaseRepresentation
bin100101010111011111…
…000001100010011100
310211120012110221212001
4211113133001202130
51124132322044340
630233151252044
72620162152010
oct452737014234
9124505427761
1040122456220
111601a098230
127938b1a024
133a25559472
141d28966540
15109c62529a
hex9577c189c

40122456220 has 96 divisors (see below), whose sum is σ = 105117626880. Its totient is φ = 12497399040.

The previous prime is 40122456181. The next prime is 40122456223. The reversal of 40122456220 is 2265422104.

40122456220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401224562202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122456223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2559366 + ... + 2574994.

It is an arithmetic number, because the mean of its divisors is an integer number (1094975280).

Almost surely, 240122456220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40122456220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52558813440).

40122456220 is an abundant number, since it is smaller than the sum of its proper divisors (64995170660).

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

40122456220 is a wasteful number, since it uses less digits than its factorization.

40122456220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17323 (or 17321 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 40122456220 its reverse (2265422104), we get a palindrome (42387878324).

The spelling of 40122456220 in words is "forty billion, one hundred twenty-two million, four hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1667 3334 6668 8335 11669 15629 16670 18337 23338 31258 33340 36674 46676 58345 62516 73348 78145 91685 109403 116690 128359 156290 171919 183370 218806 233380 256718 312580 343838 366740 437612 513436 547015 641795 687676 859595 1094030 1203433 1283590 1719190 2188060 2406866 2567180 3438380 4813732 6017165 12034330 24068660 26053543 52107086 104214172 130267715 182374801 260535430 286588973 364749602 521070860 573177946 729499204 911874005 1146355892 1432944865 1823748010 2006122811 2865889730 3647496020 4012245622 5731779460 8024491244 10030614055 20061228110 40122456220