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1242104020040 = 235133764558421
BaseRepresentation
bin10010000100110011001…
…010110011110001001000
311101202002100211221101002
4102010303022303301020
5130322312112120130
62350340435514132
7155511331653032
oct22046312636110
94352070757332
101242104020040
11439856379574
1218088a158948
139018c534b30
144419230ac52
152249b280b45
hex121332b3c48

1242104020040 has 64 divisors (see below), whose sum is σ = 3091057245360. Its totient is φ = 446227799040.

The previous prime is 1242104020039. The next prime is 1242104020117. The reversal of 1242104020040 is 400204012421.

It can be written as a sum of positive squares in 8 ways, for example, as 164581130596 + 1077522889444 = 405686^2 + 1038038^2 .

It is a super-5 number, since 5×12421040200405 (a number of 62 digits) contains 55555 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1242104019994 and 1242104020021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32259971 + ... + 32298450.

Almost surely, 21242104020040 is an apocalyptic number.

1242104020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242104020040 is an abundant number, since it is smaller than the sum of its proper divisors (1848953225320).

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

1242104020040 is a wasteful number, since it uses less digits than its factorization.

1242104020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64558482 (or 64558478 counting only the distinct ones).

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

Adding to 1242104020040 its reverse (400204012421), we get a palindrome (1642308032461).

The spelling of 1242104020040 in words is "one trillion, two hundred forty-two billion, one hundred four million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 19240 64558421 129116842 258233684 322792105 516467368 645584210 839259473 1291168420 1678518946 2388661577 2582336840 3357037892 4196297365 4777323154 6714075784 8392594730 9554646308 11943307885 16785189460 19109292616 23886615770 31052600501 33570378920 47773231540 62105201002 95546463080 124210402004 155263002505 248420804008 310526005010 621052010020 1242104020040