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3421313010340 = 22523281186714177
BaseRepresentation
bin110001110010010110001…
…001011000101010100100
3110010002000012000202021021
4301302112021120222210
5422023322112312330
611135421323300524
7502116216520351
oct61622611305244
913102005022237
103421313010340
1110a9a75001205
124730a697a744
131ba822887964
14bb8418cb628
155dee22b867a
hex31c96258aa4

3421313010340 has 96 divisors (see below), whose sum is σ = 7528379169024. Its totient is φ = 1303575060480.

The previous prime is 3421313010319. The next prime is 3421313010343. The reversal of 3421313010340 is 430103131243.

It is a super-3 number, since 3×34213130103403 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3421313010343) 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, 241321332 + ... + 241335508.

It is an arithmetic number, because the mean of its divisors is an integer number (78420616344).

Almost surely, 23421313010340 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 3421313010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764189584512).

3421313010340 is an abundant number, since it is smaller than the sum of its proper divisors (4107066158684).

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

3421313010340 is a wasteful number, since it uses less digits than its factorization.

3421313010340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16357 (or 16355 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3421313010340 its reverse (430103131243), we get a palindrome (3851416141583).

The spelling of 3421313010340 in words is "three trillion, four hundred twenty-one billion, three hundred thirteen million, ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 281 460 562 1124 1405 1867 2810 3734 5620 6463 7468 9335 12926 14177 18670 25852 28354 32315 37340 42941 56708 64630 70885 85882 129260 141770 171764 214705 283540 326071 429410 524627 652142 858820 1049254 1304284 1630355 2098508 2623135 3260710 3983737 5246270 6521420 7967474 10492540 12066421 15934948 19918685 24132842 26468459 39837370 48265684 52936918 60332105 79674740 91625951 105873836 120664210 132342295 183251902 241328420 264684590 366503804 458129755 529369180 608774557 916259510 1217549114 1832519020 2435098228 3043872785 6087745570 7437636979 12175491140 14875273958 29750547916 37188184895 74376369790 148752739580 171065650517 342131301034 684262602068 855328252585 1710656505170 3421313010340