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3424341421000 = 235343179444893
BaseRepresentation
bin110001110101001010101…
…001110110101111001000
3110010100211020111221201001
4301311022221312233020
5422101022400433000
611141042024504344
7502254241552063
oct61651251665710
913110736457631
103424341421000
111100289506a35
124737b101b0b4
131babb6108926
14bba4bbab8da
155e11d0c046a
hex31d4aa76bc8

3424341421000 has 128 divisors (see below), whose sum is σ = 8245131523200. Its totient is φ = 1330405036800.

The previous prime is 3424341420991. The next prime is 3424341421003. The reversal of 3424341421000 is 1241434243.

It is a super-2 number, since 2×34243414210002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3424341421000.

It is not an unprimeable number, because it can be changed into a prime (3424341421003) 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, 7474554 + ... + 7919446.

It is an arithmetic number, because the mean of its divisors is an integer number (64415090025).

Almost surely, 23424341421000 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 3424341421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122565761600).

3424341421000 is an abundant number, since it is smaller than the sum of its proper divisors (4820790102200).

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

3424341421000 is a wasteful number, since it uses less digits than its factorization.

3424341421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445136 (or 445122 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3424341421000 its reverse (1241434243), we get a palindrome (3425582855243).

The spelling of 3424341421000 in words is "three trillion, four hundred twenty-four billion, three hundred forty-one million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 179 200 215 250 344 358 430 500 716 860 895 1000 1075 1432 1720 1790 2150 3580 4300 4475 5375 7160 7697 8600 8950 10750 15394 17900 21500 22375 30788 35800 38485 43000 44750 61576 76970 89500 153940 179000 192425 307880 384850 444893 769700 889786 962125 1539400 1779572 1924250 2224465 3559144 3848500 4448930 7697000 8897860 11122325 17795720 19130399 22244650 38260798 44489300 55611625 76521596 79635847 88978600 95651995 111223250 153043192 159271694 191303990 222446500 318543388 382607980 398179235 444893000 478259975 637086776 765215960 796358470 956519950 1592716940 1913039900 1990896175 2391299875 3185433880 3424341421 3826079800 3981792350 4782599750 6848682842 7963584700 9565199500 9954480875 13697365684 15927169400 17121707105 19130399000 19908961750 27394731368 34243414210 39817923500 68486828420 79635847000 85608535525 136973656840 171217071050 342434142100 428042677625 684868284200 856085355250 1712170710500 3424341421000