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2042000142 = 237132924447
BaseRepresentation
bin111100110110110…
…0111001100001110
312021022101100120220
41321231213030032
513140223001032
6534343052210
7101413500120
oct17155471416
95238340526
102042000142
11958723a26
1248ba41066
13267091410
141552ad210
15be40c12c
hex79b6730e

2042000142 has 96 divisors (see below), whose sum is σ = 5206935552. Its totient is φ = 519861888.

The previous prime is 2042000131. The next prime is 2042000143. The reversal of 2042000142 is 2410002402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042000143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456963 + ... + 461409.

It is an arithmetic number, because the mean of its divisors is an integer number (54238912).

Almost surely, 22042000142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042000142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603467776).

2042000142 is an abundant number, since it is smaller than the sum of its proper divisors (3164935410).

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

2042000142 is a wasteful number, since it uses less digits than its factorization.

2042000142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2042000142 is about 45188.4956819764. The cubic root of 2042000142 is about 1268.6795008446.

Adding to 2042000142 its reverse (2410002402), we get a palindrome (4452002544).

The spelling of 2042000142 in words is "two billion, forty-two million, one hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 174 182 203 273 377 406 546 609 754 841 1131 1218 1682 2262 2523 2639 4447 5046 5278 5887 7917 8894 10933 11774 13341 15834 17661 21866 26682 31129 32799 35322 57811 62258 65598 76531 93387 115622 128963 153062 173433 186774 229593 257926 346866 386889 404677 459186 773778 809354 902741 1214031 1676519 1805482 2428062 2708223 3353038 3739927 5029557 5416446 7479854 10059114 11219781 11735633 22439562 23471266 26179489 35206899 48619051 52358978 70413798 78538467 97238102 145857153 157076934 291714306 340333357 680666714 1021000071 2042000142