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2141723340 = 2232567177589
BaseRepresentation
bin111111110101000…
…0001101011001100
312112021000211002200
41333222001223030
513341240121330
6552304321500
7104034230241
oct17752015314
95467024080
102141723340
119a9a46499
124b9313290
13281938c23
1416462b5c8
15c8059a60
hex7fa81acc

2141723340 has 72 divisors (see below), whose sum is σ = 6593561520. Its totient is φ = 562598784.

The previous prime is 2141723321. The next prime is 2141723347. The reversal of 2141723340 is 433271412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2141723347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76735 + ... + 100854.

Almost surely, 22141723340 is an apocalyptic number.

2141723340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141723340 is an abundant number, since it is smaller than the sum of its proper divisors (4451838180).

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

2141723340 is a wasteful number, since it uses less digits than its factorization.

2141723340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177671 (or 177666 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2141723340 is about 46278.7568977387. The cubic root of 2141723340 is about 1289.0045682880.

Adding to 2141723340 its reverse (433271412), we get a palindrome (2574994752).

The spelling of 2141723340 in words is "two billion, one hundred forty-one million, seven hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 177589 355178 532767 710356 887945 1065534 1598301 1775890 2131068 2663835 3196602 3551780 5327670 6393204 7991505 10655340 11898463 15983010 23796926 31966020 35695389 47593852 59492315 71390778 107086167 118984630 142781556 178476945 214172334 237969260 356953890 428344668 535430835 713907780 1070861670 2141723340