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2412012002334 = 2311232789569717
BaseRepresentation
bin100011000110010111000…
…111100101110000011110
322112120211021010011102020
4203012113013211300132
5304004300033033314
65044021340041010
7336155622512034
oct43062707456036
98476737104366
102412012002334
1184aa23992340
1232b569b33166
131465b467a2ac
1484a560b6554
1542b1e217da9
hex231971e5c1e

2412012002334 has 64 divisors (see below), whose sum is σ = 5493357688320. Its totient is φ = 698882011520.

The previous prime is 2412012002327. The next prime is 2412012002363. The reversal of 2412012002334 is 4332002102142.

It is a happy number.

2412012002334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3948844 + ... + 4518560.

It is an arithmetic number, because the mean of its divisors is an integer number (85833713880).

Almost surely, 22412012002334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412012002334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746678844160).

2412012002334 is an abundant number, since it is smaller than the sum of its proper divisors (3081345685986).

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

2412012002334 is a wasteful number, since it uses less digits than its factorization.

2412012002334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572545.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2412012002334 its reverse (4332002102142), we get a palindrome (6744014104476).

The spelling of 2412012002334 in words is "two trillion, four hundred twelve billion, twelve million, two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 2789 5578 8367 16734 30679 61358 64147 92037 128294 184074 192441 384882 569717 705617 1139434 1411234 1709151 2116851 3418302 4233702 6266887 12533774 13103491 18800661 26206982 37601322 39310473 78620946 144138401 288276802 432415203 864830406 1588940713 3177881426 4766822139 9533644278 17478347843 34956695686 36545636399 52435043529 73091272798 104870087058 109636909197 219273818394 402002000389 804004000778 1206006001167 2412012002334