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2142211743 = 3272231271663
BaseRepresentation
bin111111110101111…
…1000111010011111
312112021221122001200
41333223320322133
513341401233433
6552323010543
7104041333200
oct17753707237
95467848050
102142211743
119aa24a431
124b9509a53
13281a7a319
141647175a7
15c8104613
hex7faf8e9f

2142211743 has 72 divisors (see below), whose sum is σ = 3787849728. Its totient is φ = 1160980128.

The previous prime is 2142211741. The next prime is 2142211763. The reversal of 2142211743 is 3471122412.

It is not a de Polignac number, because 2142211743 - 21 = 2142211741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142211741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1287330 + ... + 1288992.

It is an arithmetic number, because the mean of its divisors is an integer number (52609024).

Almost surely, 22142211743 is an apocalyptic number.

2142211743 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2142211743 is a deficient number, since it is larger than the sum of its proper divisors (1645637985).

2142211743 is a wasteful number, since it uses less digits than its factorization.

2142211743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1823 counting only the distinct ones).

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

The square root of 2142211743 is about 46284.0333484453. The cubic root of 2142211743 is about 1289.1025432594.

The spelling of 2142211743 in words is "two billion, one hundred forty-two million, two hundred eleven thousand, seven hundred forty-three".

Divisors: 1 3 7 9 21 23 49 63 69 127 147 161 207 381 441 483 889 1127 1143 1449 1663 2667 2921 3381 4989 6223 8001 8763 10143 11641 14967 18669 20447 26289 34923 38249 56007 61341 81487 104769 114747 143129 184023 211201 244461 267743 344241 429387 633603 733383 803229 1288161 1478407 1874201 1900809 2409687 4435221 4857623 5622603 10348849 13305663 14572869 16867809 31046547 34003361 43718607 93139641 102010083 238023527 306030249 714070581 2142211743