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2142404704 = 251124431249
BaseRepresentation
bin111111110110010…
…1000000001100000
312112022022102202101
41333230220001200
513341423422304
6552331100144
7104043065566
oct17754500140
95468272671
102142404704
119aa371400
124b95a1654
13281b170bb
14164767a36
15c81418a4
hex7fb28060

2142404704 has 72 divisors (see below), whose sum is σ = 4650345000. Its totient is φ = 970844160.

The previous prime is 2142404689. The next prime is 2142404723. The reversal of 2142404704 is 4074042412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1714672 + ... + 1715920.

It is an arithmetic number, because the mean of its divisors is an integer number (64588125).

Almost surely, 22142404704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142404704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325172500).

2142404704 is an abundant number, since it is smaller than the sum of its proper divisors (2507940296).

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

2142404704 is a wasteful number, since it uses less digits than its factorization.

2142404704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 2142404704 is about 46286.1178324560. The cubic root of 2142404704 is about 1289.1412476574.

The spelling of 2142404704 in words is "two billion, one hundred forty-two million, four hundred four thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 443 484 886 968 1249 1772 1936 2498 3544 3872 4873 4996 7088 9746 9992 13739 14176 19492 19984 27478 38984 39968 53603 54956 77968 107206 109912 151129 155936 214412 219824 302258 428824 439648 553307 604516 857648 1106614 1209032 1715296 2213228 2418064 4426456 4836128 6086377 8852912 12172754 17705824 24345508 48691016 66950147 97382032 133900294 194764064 267800588 535601176 1071202352 2142404704