Search a number
-
+
241344002033420 = 2251113127703660799
BaseRepresentation
bin110110111000000001000111…
…100000101000011100001100
31011122112021001110111102101112
4312320001013200220130030
5223113140004010032140
62213143523125431152
7101556346233226526
oct6670010740503414
91148467043442345
10241344002033420
116a999464360590
122309a101b6b4b8
13a488845b87430
14438517d578a16
151cd7da0be0c65
hexdb804782870c

241344002033420 has 96 divisors (see below), whose sum is σ = 595433283379200. Its totient is φ = 81009817148160.

The previous prime is 241344002033419. The next prime is 241344002033437. The reversal of 241344002033420 is 24330200443142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364900181 + ... + 365560979.

It is an arithmetic number, because the mean of its divisors is an integer number (6202430035200).

Almost surely, 2241344002033420 is an apocalyptic number.

241344002033420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241344002033420 is an abundant number, since it is smaller than the sum of its proper divisors (354089281345780).

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

241344002033420 is a wasteful number, since it uses less digits than its factorization.

241344002033420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788535 (or 788533 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 241344002033420 its reverse (24330200443142), we get a palindrome (265674202476562).

The spelling of 241344002033420 in words is "two hundred forty-one trillion, three hundred forty-four billion, two million, thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 127703 255406 510812 638515 660799 1277030 1321598 1404733 1660139 2554060 2643196 2809466 3303995 3320278 5618932 6607990 6640556 7023665 7268789 8300695 8590387 13215980 14047330 14537578 16601390 17180774 18261529 28094660 29075156 33202780 34361548 36343945 36523058 42951935 72687890 73046116 85903870 91307645 94494257 145375780 171807740 182615290 188988514 365230580 377977028 472471285 944942570 1889885140 84386014697 168772029394 337544058788 421930073485 843860146970 928246161667 1097018191061 1687720293940 1856492323334 2194036382122 3712984646668 4388072764244 4641230808335 5485090955305 9282461616670 10970181910610 12067200101671 18564923233340 21940363821220 24134400203342 48268800406684 60336000508355 120672001016710 241344002033420