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3420410452000 = 25532929486297
BaseRepresentation
bin110001110001100000010…
…110011001100000100000
3110002222200021201000222121
4301301200112121200200
5422020000033431000
611135152002314024
7502054650065053
oct61614026314040
913088607630877
103420410452000
1110a9651591823
12472a94658914
131ba70a8a6979
14bb797aa6a9a
155de8ce33b1a
hex31c60599820

3420410452000 has 96 divisors (see below), whose sum is σ = 8693740102320. Its totient is φ = 1320986060800.

The previous prime is 3420410451967. The next prime is 3420410452033. The reversal of 3420410452000 is 2540140243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3420410451967) and next prime (3420410452033).

It can be written as a sum of positive squares in 8 ways, for example, as 13772430736 + 3406638021264 = 117356^2 + 1845708^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14627149 + ... + 14859148.

Almost surely, 23420410452000 is an apocalyptic number.

It is an amenable number.

3420410452000 is an abundant number, since it is smaller than the sum of its proper divisors (5273329650320).

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

3420410452000 is a wasteful number, since it uses less digits than its factorization.

3420410452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29486351 (or 29486333 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 3420410452000 its reverse (2540140243), we get a palindrome (3422950592243).

The spelling of 3420410452000 in words is "three trillion, four hundred twenty billion, four hundred ten million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000 29486297 58972594 117945188 147431485 235890376 294862970 471780752 589725940 737157425 855102613 943561504 1179451880 1474314850 1710205226 2358903760 2948629700 3420410452 3685787125 4275513065 4717807520 5897259400 6840820904 7371574250 8551026130 11794518800 13681641808 14743148500 17102052260 21377565325 23589037600 27363283616 29486297000 34204104520 42755130650 58972594000 68408209040 85510261300 106887826625 117945188000 136816418080 171020522600 213775653250 342041045200 427551306500 684082090400 855102613000 1710205226000 3420410452000