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2124731142 = 2333710110529
BaseRepresentation
bin111111010100100…
…1101001100000110
312111002001112012000
41332221031030012
513322412344032
6550500210130
7103436626302
oct17651151406
95432045160
102124731142
119a039aa56
124b3699946
1327b269881
14162286d02
15c67eee7c
hex7ea4d306

2124731142 has 64 divisors (see below), whose sum is σ = 4897713600. Its totient is φ = 682214400.

The previous prime is 2124731137. The next prime is 2124731143. The reversal of 2124731142 is 2411374212.

2124731142 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124731143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196534 + ... + 207062.

It is an arithmetic number, because the mean of its divisors is an integer number (76526775).

Almost surely, 22124731142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124731142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448856800).

2124731142 is an abundant number, since it is smaller than the sum of its proper divisors (2772982458).

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

2124731142 is a wasteful number, since it uses less digits than its factorization.

2124731142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10678 (or 10672 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2124731142 is about 46094.8060197676. The cubic root of 2124731142 is about 1285.5865726795.

The spelling of 2124731142 in words is "two billion, one hundred twenty-four million, seven hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 101 111 202 222 303 333 606 666 909 999 1818 1998 2727 3737 5454 7474 10529 11211 21058 22422 31587 33633 63174 67266 94761 100899 189522 201798 284283 389573 568566 779146 1063429 1168719 2126858 2337438 3190287 3506157 6380574 7012314 9570861 10518471 19141722 21036942 28712583 39346873 57425166 78693746 118040619 236081238 354121857 708243714 1062365571 2124731142