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3453412234000 = 245323511314683
BaseRepresentation
bin110010010000001111011…
…010001101001100010000
3110020010212020101021010211
4302100033122031030100
5423040042012442000
611202250425133504
7504333526440661
oct62201732151420
913203766337124
103453412234000
1111116471a3023
1247936492a294
131c0869b28421
14bd208a5d368
155ec703547ba
hex3240f68d310

3453412234000 has 160 divisors (see below), whose sum is σ = 8715707230464. Its totient is φ = 1320957158400.

The previous prime is 3453412233967. The next prime is 3453412234001. The reversal of 3453412234000 is 4322143543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3453412234001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235190659 + ... + 235205341.

Almost surely, 23453412234000 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 3453412234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357853615232).

3453412234000 is an abundant number, since it is smaller than the sum of its proper divisors (5262294996464).

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

3453412234000 is a wasteful number, since it uses less digits than its factorization.

3453412234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19842 (or 19826 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 3453412234000 its reverse (4322143543), we get a palindrome (3457734377543).

The spelling of 3453412234000 in words is "three trillion, four hundred fifty-three billion, four hundred twelve million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5113 5750 9200 10226 11500 14683 20452 23000 25565 29366 40904 46000 51130 58732 73415 81808 102260 117464 117599 127825 146830 204520 234928 235198 255650 293660 337709 367075 409040 470396 511300 587320 587995 639125 675418 734150 940792 1022600 1174640 1175990 1278250 1350836 1468300 1688545 1835375 1881584 2045200 2351980 2556500 2701672 2936600 2939975 3377090 3670750 4703960 5113000 5403344 5873200 5879950 6754180 7341500 8442725 9407920 10226000 11759900 13508360 14683000 14699875 16885450 23519800 27016720 29366000 29399750 33770900 42213625 47039600 58799500 67541800 75074179 84427250 117599000 135083600 150148358 168854500 235198000 300296716 337709000 375370895 600593432 675418000 750741790 1201186864 1501483580 1726706117 1876854475 3002967160 3453412234 3753708950 6005934320 6906824468 7507417900 8633530585 9384272375 13813648936 15014835800 17267061170 18768544750 27627297872 30029671600 34534122340 37537089500 43167652925 69068244680 75074179000 86335305850 138136489360 150148358000 172670611700 215838264625 345341223400 431676529250 690682446800 863353058500 1726706117000 3453412234000