Search a number
-
+
2142771456 = 2837398581
BaseRepresentation
bin111111110111000…
…0001100100000000
312112100000001211210
41333232001210000
513342022141311
6552343010120
7104046154050
oct17756014400
95470001753
102142771456
119aa5a1a01
124b9739940
13281c15007
14164821560
15c81b53a6
hex7fb81900

2142771456 has 72 divisors (see below), whose sum is σ = 6517612864. Its totient is φ = 612218880.

The previous prime is 2142771451. The next prime is 2142771457. The reversal of 2142771456 is 6541772412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142771451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193915 + ... + 204666.

Almost surely, 22142771456 is an apocalyptic number.

It is an amenable number.

2142771456 is an abundant number, since it is smaller than the sum of its proper divisors (4374841408).

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

2142771456 is an equidigital number, since it uses as much as digits as its factorization.

2142771456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398607 (or 398593 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 2142771456 is about 46290.0794555378. The cubic root of 2142771456 is about 1289.2148049011.

The spelling of 2142771456 in words is "two billion, one hundred forty-two million, seven hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 398581 797162 1195743 1594324 2391486 2790067 3188648 4782972 5580134 6377296 8370201 9565944 11160268 12754592 16740402 19131888 22320536 25509184 33480804 38263776 44641072 51018368 66961608 76527552 89282144 102036736 133923216 153055104 178564288 267846432 306110208 357128576 535692864 714257152 1071385728 2142771456