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42131121140420 = 225132691152752259
BaseRepresentation
bin10011001010001011010101…
…00000100111001011000100
312112011200210021022221102122
421211011222200213023010
521010234014002443140
6225334434142225112
711605605312621104
oct1145055240471304
9175150707287378
1042131121140420
1112473787589414
124885363285198
131a67c42076850
14a5922b2b7204
154d0dd91bcab5
hex26516a8272c4

42131121140420 has 96 divisors (see below), whose sum is σ = 95645482732800. Its totient is φ = 15496635815424.

The previous prime is 42131121140413. The next prime is 42131121140447. The reversal of 42131121140420 is 2404112113124.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42131121140420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806172251 + ... + 806224509.

It is an arithmetic number, because the mean of its divisors is an integer number (996307111800).

Almost surely, 242131121140420 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 42131121140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47822741366400).

42131121140420 is an abundant number, since it is smaller than the sum of its proper divisors (53514361592380).

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

42131121140420 is a wasteful number, since it uses less digits than its factorization.

42131121140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64077 (or 64075 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 42131121140420 its reverse (2404112113124), we get a palindrome (44535233253544).

The spelling of 42131121140420 in words is "forty-two trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 269 538 1076 1345 2690 3497 5380 6994 11527 13988 17485 23054 34970 46108 52259 57635 69940 104518 115270 149851 209036 230540 261295 299702 522590 599404 679367 749255 1045180 1358734 1498510 2717468 2997020 3100763 3396835 6201526 6793670 12403052 13587340 14057671 15503815 28115342 31007630 40309919 56230684 62015260 70288355 80619838 140576710 161239676 182749723 201549595 281153420 365499446 403099190 602389493 730998892 806198380 913748615 1204778986 1827497230 2409557972 3011947465 3654994460 6023894930 7831063409 12047789860 15662126818 31324253636 39155317045 78310634090 156621268180 162042773617 324085547234 648171094468 810213868085 1620427736170 2106556057021 3240855472340 4213112114042 8426224228084 10532780285105 21065560570210 42131121140420