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2042001420112 = 243167601102241
BaseRepresentation
bin11101101101110000110…
…001001110111101010000
321020012202120221001201101
4131231300301032331100
5231424004330420422
64202025453114144
7300346461453643
oct35556061167520
97205676831641
102042001420112
1171800a626435
1228b906188954
1311a73816a494
1470b94ba5a5a
15381b5557c27
hex1db70c4ef50

2042001420112 has 80 divisors (see below), whose sum is σ = 4151895483904. Its totient is φ = 971688960000.

The previous prime is 2042001420079. The next prime is 2042001420119. The reversal of 2042001420112 is 2110241002402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042001420112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042001420119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19921312 + ... + 20023552.

Almost surely, 22042001420112 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 2042001420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075947741952).

2042001420112 is an abundant number, since it is smaller than the sum of its proper divisors (2109894063792).

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

2042001420112 is a wasteful number, since it uses less digits than its factorization.

2042001420112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102948 (or 102942 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2042001420112 its reverse (2110241002402), we get a palindrome (4152242422514).

The spelling of 2042001420112 in words is "two trillion, forty-two billion, one million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 67 124 134 248 268 496 536 601 1072 1202 2077 2404 4154 4808 8308 9616 16616 18631 33232 37262 40267 74524 80534 102241 149048 161068 204482 298096 322136 408964 644272 817928 1248277 1635856 2496554 3169471 4993108 6338942 6850147 9986216 12677884 13700294 19972432 25355768 27400588 50711536 54801176 61446841 109602352 122893682 212354557 245787364 424709114 491574728 849418228 983149456 1698836456 1904852071 3397672912 3809704142 4116938347 7619408284 8233876694 15238816568 16467753388 30477633136 32935506776 65871013552 127625088757 255250177514 510500355028 1021000710056 2042001420112