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3422431410120 = 233259506753917
BaseRepresentation
bin110001110011011000110…
…011101111011111001000
3110010011220010111100100100
4301303120303233133020
5422033114420110440
611140124314405400
7502156016666202
oct61633063573710
913104803440310
103422431410120
1110aa499343548
12473359430860
131ba9704ab588
14bb90a259772
155e05a586230
hex31cd8cef7c8

3422431410120 has 48 divisors (see below), whose sum is σ = 11122902084060. Its totient is φ = 912648375936.

The previous prime is 3422431410001. The next prime is 3422431410191. The reversal of 3422431410120 is 210141342243.

3422431410120 is a `hidden beast` number, since 3 + 4 + 2 + 243 + 1 + 410 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3353754918276 + 68676491844 = 1831326^2 + 262062^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4753376599 + ... + 4753377318.

Almost surely, 23422431410120 is an apocalyptic number.

3422431410120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3422431410120 is an abundant number, since it is smaller than the sum of its proper divisors (7700470673940).

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

3422431410120 is a wasteful number, since it uses less digits than its factorization.

3422431410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9506753934 (or 9506753927 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3422431410120 its reverse (210141342243), we get a palindrome (3632572752363).

The spelling of 3422431410120 in words is "three trillion, four hundred twenty-two billion, four hundred thirty-one million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9506753917 19013507834 28520261751 38027015668 47533769585 57040523502 76054031336 85560785253 95067539170 114081047004 142601308755 171121570506 190135078340 228162094008 285202617510 342243141012 380270156680 427803926265 570405235020 684486282024 855607852530 1140810470040 1711215705060 3422431410120