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2142434040 = 233535934969
BaseRepresentation
bin111111110110010…
…1111001011111000
312112022100220222220
41333230233023320
513341430342130
6552331444040
7104043250245
oct17754571370
95468326886
102142434040
119aa39144a
124b95b6620
13281b27566
141647745cc
15c814a410
hex7fb2f2f8

2142434040 has 64 divisors (see below), whose sum is σ = 6430384800. Its totient is φ = 571041792.

The previous prime is 2142434029. The next prime is 2142434059. The reversal of 2142434040 is 404342412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2142434040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428676 + ... + 433644.

Almost surely, 22142434040 is an apocalyptic number.

2142434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142434040 is an abundant number, since it is smaller than the sum of its proper divisors (4287950760).

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

2142434040 is a wasteful number, since it uses less digits than its factorization.

2142434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2142434040 is about 46286.4347298428. The cubic root of 2142434040 is about 1289.1471317114.

Adding to 2142434040 its reverse (404342412), we get a palindrome (2546776452).

The spelling of 2142434040 in words is "two billion, one hundred forty-two million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3593 4969 7186 9938 10779 14372 14907 17965 19876 21558 24845 28744 29814 35930 39752 43116 49690 53895 59628 71860 74535 86232 99380 107790 119256 143720 149070 198760 215580 298140 431160 596280 17853617 35707234 53560851 71414468 89268085 107121702 142828936 178536170 214243404 267804255 357072340 428486808 535608510 714144680 1071217020 2142434040