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2142434010 = 2351712893259
BaseRepresentation
bin111111110110010…
…1111001011011010
312112022100220221210
41333230233023122
513341430342020
6552331443550
7104043250203
oct17754571332
95468326853
102142434010
119aa391422
124b95b65b6
13281b27542
141647745aa
15c814a3e0
hex7fb2f2da

2142434010 has 64 divisors (see below), whose sum is σ = 5450198400. Its totient is φ = 537126912.

The previous prime is 2142433933. The next prime is 2142434029. The reversal of 2142434010 is 104342412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655761 + ... + 659019.

It is an arithmetic number, because the mean of its divisors is an integer number (85159350).

Almost surely, 22142434010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142434010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725099200).

2142434010 is an abundant number, since it is smaller than the sum of its proper divisors (3307764390).

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

2142434010 is a wasteful number, since it uses less digits than its factorization.

2142434010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2142434010 is about 46286.4344057738. The cubic root of 2142434010 is about 1289.1471256942.

Adding to 2142434010 its reverse (104342412), we get a palindrome (2246776422).

The spelling of 2142434010 in words is "two billion, one hundred forty-two million, four hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 1289 2578 3259 3867 6445 6518 7734 9777 12890 16295 19335 19554 21913 32590 38670 43826 48885 55403 65739 97770 109565 110806 131478 166209 219130 277015 328695 332418 554030 657390 831045 1662090 4200851 8401702 12602553 21004255 25205106 42008510 63012765 71414467 126025530 142828934 214243401 357072335 428486802 714144670 1071217005 2142434010