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2042412414 = 237254112841
BaseRepresentation
bin111100110111100…
…1011110101111110
312021100011022010020
41321233023311332
513140324144124
6534355553010
7101420135100
oct17157136576
95240138106
102042412414
11958985749
1248bbbb766
132671a6c73
14155379570
15be48e379
hex79bcbd7e

2042412414 has 48 divisors (see below), whose sum is σ = 4760888976. Its totient is φ = 582422400.

The previous prime is 2042412371. The next prime is 2042412439. The reversal of 2042412414 is 4142142402.

It is a super-2 number, since 2×20424124142 = 8342896937722614792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152634 + ... + 165474.

It is an arithmetic number, because the mean of its divisors is an integer number (99185187).

Almost surely, 22042412414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042412414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380444488).

2042412414 is an abundant number, since it is smaller than the sum of its proper divisors (2718476562).

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

2042412414 is a wasteful number, since it uses less digits than its factorization.

2042412414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13401 (or 13394 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2042412414 is about 45193.0571437693. The cubic root of 2042412414 is about 1268.7648756084.

Adding to 2042412414 its reverse (4142142402), we get a palindrome (6184554816).

The spelling of 2042412414 in words is "two billion, forty-two million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 541 1082 1623 3246 3787 7574 11361 12841 22722 25682 26509 38523 53018 77046 79527 89887 159054 179774 269661 539322 629209 1258418 1887627 3775254 6946981 13893962 20840943 41681886 48628867 97257734 145886601 291773202 340402069 680804138 1021206207 2042412414