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2141431632 = 243219782687
BaseRepresentation
bin111111110100011…
…1010011101010000
312112020110222221200
41333220322131100
513341201303012
6552254151200
7104031603624
oct17750723520
95466428850
102141431632
119a986730a
124b91b2500
13281866212
14164593184
15c7eed3dc
hex7fa3a750

2141431632 has 60 divisors (see below), whose sum is σ = 6308465280. Its totient is φ = 676240704.

The previous prime is 2141431631. The next prime is 2141431661. The reversal of 2141431632 is 2361341412.

It is a happy number.

2141431632 is a `hidden beast` number, since 2 + 14 + 14 + 3 + 1 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2141431596 and 2141431605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141431631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388608 + ... + 394079.

It is an arithmetic number, because the mean of its divisors is an integer number (105141088).

Almost surely, 22141431632 is an apocalyptic number.

It is an amenable number.

2141431632 is an abundant number, since it is smaller than the sum of its proper divisors (4167033648).

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

2141431632 is a wasteful number, since it uses less digits than its factorization.

2141431632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782720 (or 782711 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2141431632 is about 46275.6051500140. The cubic root of 2141431632 is about 1288.9460437640.

The spelling of 2141431632 in words is "two billion, one hundred forty-one million, four hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 782687 1565374 2348061 3130748 4696122 6261496 7044183 9392244 12522992 14088366 14871053 18784488 28176732 29742106 37568976 44613159 56353464 59484212 89226318 112706928 118968424 133839477 178452636 237936848 267678954 356905272 535357908 713810544 1070715816 2141431632