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7142135010 = 2356716692129
BaseRepresentation
bin1101010011011010…
…00101010011100010
3200102202012001100220
412221231011103202
5104111341310020
63140412423510
7341663101023
oct65155052342
920382161326
107142135010
11303560481a
121473a77b96
1389a8accba
144ba798c4a
152bc043240
hex1a9b454e2

7142135010 has 64 divisors (see below), whose sum is σ = 17415561600. Its totient is φ = 1874138112.

The previous prime is 7142135003. The next prime is 7142135027. The reversal of 7142135010 is 105312417.

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, 3353626 + ... + 3355754.

It is an arithmetic number, because the mean of its divisors is an integer number (272118150).

Almost surely, 27142135010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142135010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707780800).

7142135010 is an abundant number, since it is smaller than the sum of its proper divisors (10273426590).

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

7142135010 is a wasteful number, since it uses less digits than its factorization.

7142135010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 7142135010 is about 84511.1531692711. The cubic root of 7142135010 is about 1925.7918828920.

Adding to 7142135010 its reverse (105312417), we get a palindrome (7247447427).

The spelling of 7142135010 in words is "seven billion, one hundred forty-two million, one hundred thirty-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 1669 2010 2129 3338 4258 5007 6387 8345 10014 10645 12774 16690 21290 25035 31935 50070 63870 111823 142643 223646 285286 335469 427929 559115 670938 713215 855858 1118230 1426430 1677345 2139645 3354690 3553301 4279290 7106602 10659903 17766505 21319806 35533010 53299515 106599030 238071167 476142334 714213501 1190355835 1428427002 2380711670 3571067505 7142135010