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3403123402420 = 2257173344940739
BaseRepresentation
bin110001100001011001111…
…101100010011010110100
3110001100001112001221002001
4301201121331202122310
5421224044042334140
611123212345025044
7500603366432440
oct61413175423264
913040045057061
103403123402420
1110a2290494595
1246b66b185184
131b8bb429b251
14ba9d7c25820
155d7ca459e9a
hex31859f626b4

3403123402420 has 96 divisors (see below), whose sum is σ = 8217290592000. Its totient is φ = 1159675935744.

The previous prime is 3403123402411. The next prime is 3403123402517. The reversal of 3403123402420 is 242043213043.

3403123402420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83514411 + ... + 83555149.

It is an arithmetic number, because the mean of its divisors is an integer number (85596777000).

Almost surely, 23403123402420 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 3403123402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108645296000).

3403123402420 is an abundant number, since it is smaller than the sum of its proper divisors (4814167189580).

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

3403123402420 is a wasteful number, since it uses less digits than its factorization.

3403123402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44377 (or 44375 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3403123402420 its reverse (242043213043), we get a palindrome (3645166615463).

The spelling of 3403123402420 in words is "three trillion, four hundred three billion, one hundred twenty-three million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3449 3460 4844 6055 6898 12110 13796 17245 24143 24220 34490 40739 48286 68980 81478 96572 120715 162956 203695 241430 285173 407390 482860 570346 596677 814780 1140692 1193354 1425865 2386708 2851730 2983385 4176739 5703460 5966770 7047847 8353478 11933540 14095694 16706956 20883695 28191388 35239235 41767390 49334929 70478470 83534780 98669858 140508811 140956940 197339716 246674645 281017622 493349290 562035244 702544055 983561677 986698580 1405088110 1967123354 2810176220 3934246708 4917808385 9835616770 19671233540 24308024303 48616048606 97232097212 121540121515 170156170121 243080243030 340312340242 486160486060 680624680484 850780850605 1701561701210 3403123402420