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20042412140 = 22517298532383
BaseRepresentation
bin10010101010100111…
…101111000001101100
31220201210100000202202
4102222213233001230
5312021324142030
613112442241032
71306445456312
oct225247570154
956653300682
1020042412140
118555467983
123a741b6178
131b7540738a
14d81ba60b2
157c4847745
hex4aa9ef06c

20042412140 has 96 divisors (see below), whose sum is σ = 46175028480. Its totient is φ = 7273598976.

The previous prime is 20042412133. The next prime is 20042412167. The reversal of 20042412140 is 4121424002.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8409389 + ... + 8411771.

It is an arithmetic number, because the mean of its divisors is an integer number (480989880).

Almost surely, 220042412140 is an apocalyptic number.

20042412140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23087514240).

20042412140 is an abundant number, since it is smaller than the sum of its proper divisors (26132616340).

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

20042412140 is a wasteful number, since it uses less digits than its factorization.

20042412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20042412140 its reverse (4121424002), we get a palindrome (24163836142).

The spelling of 20042412140 in words is "twenty billion, forty-two million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 853 986 1706 1972 2383 2465 3412 4265 4766 4930 8530 9532 9860 11915 14501 17060 23830 24737 29002 40511 47660 49474 58004 69107 72505 81022 98948 123685 138214 145010 162044 202555 247370 276428 290020 345535 405110 420529 494740 691070 810220 841058 1174819 1382140 1682116 2032699 2102645 2349638 4065398 4205290 4699276 5874095 8130796 8410580 10163495 11748190 20326990 23496380 34555883 40653980 58948271 69111766 117896542 138223532 172779415 235793084 294741355 345558830 589482710 691117660 1002120607 1178965420 2004241214 4008482428 5010603035 10021206070 20042412140