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2334440022040 = 2357311312053013
BaseRepresentation
bin100001111110000111011…
…101111110000000011000
322021011121010202021022001
4201332013131332000120
5301221413121201130
64544232115210344
7330441412534060
oct41760735760030
98234533667261
102334440022040
11820037596415
1231851b2a69b4
1313c1a1591939
1480db79b23a0
1540acdea76ca
hex21f8777e018

2334440022040 has 128 divisors (see below), whose sum is σ = 6243790417920. Its totient is φ = 768647692800.

The previous prime is 2334440022029. The next prime is 2334440022121. The reversal of 2334440022040 is 402200444332.

It is a happy number.

2334440022040 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 2×23344400220402 (a number of 26 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110574 + ... + 2163586.

It is an arithmetic number, because the mean of its divisors is an integer number (48779612640).

Almost surely, 22334440022040 is an apocalyptic number.

2334440022040 is a gapful number since it is divisible by the number (20) 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 2334440022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121895208960).

2334440022040 is an abundant number, since it is smaller than the sum of its proper divisors (3909350395880).

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

2334440022040 is a wasteful number, since it uses less digits than its factorization.

2334440022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053193 (or 2053189 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 2334440022040 its reverse (402200444332), we get a palindrome (2736640466372).

The spelling of 2334440022040 in words is "two trillion, three hundred thirty-four billion, four hundred forty million, twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 131 140 155 217 248 262 280 310 434 524 620 655 868 917 1048 1085 1240 1310 1736 1834 2170 2620 3668 4061 4340 4585 5240 7336 8122 8680 9170 16244 18340 20305 28427 32488 36680 40610 56854 81220 113708 142135 162440 227416 284270 568540 1137080 2053013 4106026 8212052 10265065 14371091 16424104 20530130 28742182 41060260 57484364 63643403 71855455 82120520 114968728 127286806 143710910 254573612 268944703 287421820 318217015 445503821 509147224 537889406 574843640 636434030 891007642 1075778812 1272868060 1344723515 1782015284 1882612921 2151557624 2227519105 2545736120 2689447030 3564030568 3765225842 4455038210 5378894060 7530451684 8337285793 8910076420 9413064605 10757788120 15060903368 16674571586 17820152840 18826129210 33349143172 37652258420 41686428965 58361000551 66698286344 75304516840 83372857930 116722001102 166745715860 233444002204 291805002755 333491431720 466888004408 583610005510 1167220011020 2334440022040