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2142341632 = 2917246133
BaseRepresentation
bin111111110110001…
…1000101000000000
312112022012020020101
41333230120220000
513341414413012
6552325452144
7104042413654
oct17754305000
95468166211
102142341632
119aa328a82
124b9571054
13281ac4492
1416474ca64
15c812cd57
hex7fb18a00

2142341632 has 40 divisors (see below), whose sum is σ = 4532311476. Its totient is φ = 1008156672.

The previous prime is 2142341629. The next prime is 2142341651. The reversal of 2142341632 is 2361432412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2136658176 + 5683456 = 46224^2 + 2384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2142341632.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114363 + ... + 131770.

Almost surely, 22142341632 is an apocalyptic number.

It is an amenable number.

2142341632 is an abundant number, since it is smaller than the sum of its proper divisors (2389969844).

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

2142341632 is an equidigital number, since it uses as much as digits as its factorization.

2142341632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246168 (or 246152 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 2142341632 is about 46285.4365000483. The cubic root of 2142341632 is about 1289.1285968396.

The spelling of 2142341632 in words is "two billion, one hundred forty-two million, three hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 246133 492266 984532 1969064 3938128 4184261 7876256 8368522 15752512 16737044 31505024 33474088 63010048 66948176 126020096 133896352 267792704 535585408 1071170816 2142341632